Details

Time bar (total: 22.0s)

analyze1.0s (4.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
18.8%18.7%81.2%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
24.2%24.2%75.7%0.1%0%0%0%9
24.6%24.6%75.3%0.1%0%0%0%10
24.8%24.8%75.1%0.1%0%0%0%11
24.9%24.9%75%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.9s (22.2%)

Results
2.3s3595×body1024valid
1.5s1230×body2048valid
693.0ms1429×body512valid
411.0ms1999×body256valid
5.0msbody4096valid
Bogosity

preprocess27.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
37.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
37.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.4b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.7b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series12.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(tan.f64 (+.f64 x eps))
1.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
eps
@0
(tan.f64 (+.f64 x eps))
1.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

rewrite76.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
883×prod-diff_binary64
591×unpow-prod-down_binary64
419×log-prod_binary64
345×fma-def_binary64
252×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116917
2261917
Stop Event
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(tan.f64 (+.f64 x eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
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simplify63.0ms (0.3%)

Algorithm
egg-herbie
Rules
525×associate-*r*_binary64
512×associate-*l*_binary64
492×fma-def_binary64
437×distribute-rgt-in_binary64
426×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01261922
13781835
212431670
Stop Event
node limit
Counts
205 → 191
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 x (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))
(+.f64 x (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
(fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (fma.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
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(fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (pow.f64 eps 3)) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 eps 4)) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)) (cos.f64 x)) (sin.f64 x)))) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x)))) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (sin.f64 x) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/3)) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))

eval68.0ms (0.3%)

Compiler

Compiled 4539 to 1832 computations (59.6% saved)

prune70.0ms (0.3%)

Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New15734191
Fresh000
Picked011
Done000
Total15735192
Error
0.2b
Counts
192 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
38.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
38.0b
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
23.7b
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
29.7b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
45.8b
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
51.0b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
29.7b
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
61.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
41.7b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
23.5b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.9b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
38.1b
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
23.6b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
45.8b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
49.6b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
30.6b
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
37.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
45.8b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
38.0b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
50.3b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
50.3b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
50.8b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
23.5b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
38.0b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
38.5b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
41.4b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
23.5b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
41.0b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
50.1b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
30.2b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x))))
38.0b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
45.7b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
49.9b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
45.9b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
Compiler

Compiled 1065 to 726 computations (31.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
4.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 55 to 16 computations (70.9% saved)

series30.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
eps
@inf
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
5.0ms
x
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
3.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
2.0ms
eps
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
2.0ms
eps
@0
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite116.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
647×log-prod_binary64
504×fma-def_binary64
354×pow2_binary64
255×fma-neg_binary64
241×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01166
125366
2382266
Stop Event
node limit
Counts
4 → 235
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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(sqrt.f64 (tan.f64 eps)) 1)))))

simplify107.0ms (0.5%)

Algorithm
egg-herbie
Rules
721×fma-def_binary64
683×associate-*l*_binary64
577×times-frac_binary64
496×associate-/l*_binary64
322×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02084082
16723999
222233851
Stop Event
node limit
Counts
331 → 303
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (*.f64 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (*.f64 -1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (/.f64 (*.f64 -1/3 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)))
(fma.f64 -1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (fma.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps)) (*.f64 -1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3)))))))
(+.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)) (fma.f64 -1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (/.f64 (*.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) -2/15) (cos.f64 eps))))
(+.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)) (fma.f64 -1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 5) -2/15))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x)))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (-.f64 1 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (-.f64 1 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (*.f64 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (fma.f64 -1/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (cos.f64 x)) -2/15))))
(+.f64 (-.f64 1 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))) (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (/.f64 -2/15 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 5))))))
(+.f64 (-.f64 1 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))) (fma.f64 -1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (*.f64 (/.f64 -2/15 (cos.f64 x)) (*.f64 (sin.f64 x) (pow.f64 eps 5)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 eps)
0.1b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.1b
(/.f64 (sin.f64 eps) (cos.f64 eps))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(/.f64 (sin.f64 eps) (cos.f64 eps))
0.0ms
eps
@0
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms
x
@0
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms
eps
@inf
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms
eps
@-inf
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

rewrite95.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
647×prod-diff_binary64
454×log-prod_binary64
276×pow-prod-down_binary64
252×pow2_binary64
229×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117714
2252314
Stop Event
node limit
Counts
3 → 208
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(sin.f64 eps)
Outputs
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((#(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 expm1.f64 (log1p.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 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))))))

simplify109.0ms (0.5%)

Algorithm
egg-herbie
Rules
877×fma-def_binary64
733×fma-neg_binary64
705×associate-*l*_binary64
583×distribute-rgt-neg-in_binary64
516×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061528
1154516
2367510
31057506
42150506
54832506
67826506
Stop Event
node limit
Counts
240 → 237
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.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
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (*.f64 2/15 (pow.f64 eps 5)))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7))))
(fma.f64 17/315 (pow.f64 eps 7) (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps)))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 17/315 (pow.f64 eps 7) eps)))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (fma.f64 2/15 (pow.f64 eps 5) eps)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(-.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))))
(-.f64 (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 -1 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))
(fma.f64 (pow.f64 eps 3) -1/6 eps)
(+.f64 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 (pow.f64 eps 5) 1/120)))
(+.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps) (*.f64 (pow.f64 eps 5) 1/120))
(fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 (pow.f64 eps 5) 1/120 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 (pow.f64 eps 7) -1/5040))))
(+.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps) (fma.f64 (pow.f64 eps 5) 1/120 (*.f64 (pow.f64 eps 7) -1/5040)))
(+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 (pow.f64 eps 5) 1/120 (*.f64 (pow.f64 eps 7) -1/5040))))
(fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 (pow.f64 eps 5) 1/120 (fma.f64 (pow.f64 eps 7) -1/5040 eps)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log.f64 (tan.f64 (+.f64 x eps)))
0.7b
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
3.7b
(tan.f64 (+.f64 x eps))
5.3b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series148.0ms (0.7%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
45.0ms
x
@inf
(log.f64 (tan.f64 (+.f64 x eps)))
43.0ms
eps
@-inf
(log.f64 (tan.f64 (+.f64 x eps)))
31.0ms
x
@-inf
(log.f64 (tan.f64 (+.f64 x eps)))
19.0ms
eps
@inf
(log.f64 (tan.f64 (+.f64 x eps)))
3.0ms
eps
@0
(log.f64 (tan.f64 (+.f64 x eps)))

rewrite128.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
883×prod-diff_binary64
457×log-prod_binary64
352×fma-def_binary64
272×pow2_binary64
185×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
119325
2280525
Stop Event
node limit
Counts
3 → 191
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (tan.f64 (+.f64 x eps)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (tan.f64 (+.f64 x eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sin.f64 (+.f64 x eps))) (log.f64 (/.f64 1 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (log.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))))) (log.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (tan.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sin.f64 (+.f64 x eps))) (log.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (sin.f64 (+.f64 x eps)))) (log.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (log.f64 (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (tan.f64 (+.f64 x eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (tan.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (tan.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (tan.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 1))))))

simplify118.0ms (0.5%)

Algorithm
egg-herbie
Rules
928×times-frac_binary64
924×distribute-rgt-in_binary64
851×fma-def_binary64
164×cancel-sign-sub-inv_binary64
140×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02043111
16672969
224922735
Stop Event
node limit
Counts
263 → 242
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (sin.f64 eps)) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)) (sin.f64 eps)) (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (pow.f64 (sin.f64 eps) 2))) (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)) (sin.f64 eps)) (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (sin.f64 eps))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)) (pow.f64 (sin.f64 eps) 3))) (*.f64 -6 (/.f64 (*.f64 (cos.f64 eps) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (sin.f64 eps))))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (pow.f64 (sin.f64 eps) 2))) (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 2))))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 x) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 2))) (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (/.f64 (*.f64 eps (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 2))) (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (/.f64 (*.f64 eps (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)) (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (sin.f64 x))) (+.f64 (*.f64 -6 (/.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (sin.f64 x))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (pow.f64 (sin.f64 x) 3))))))))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2))) (pow.f64 x 3) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (fma.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2)) (neg.f64 (pow.f64 x 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))
(fma.f64 (pow.f64 eps 3) (neg.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
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(fma.f64 (*.f64 1/2 (*.f64 eps eps)) (-.f64 (+.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))))
(fma.f64 (*.f64 eps eps) (*.f64 (-.f64 (+.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) 1/2) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 2))) (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (/.f64 (*.f64 eps (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)) (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (sin.f64 x))) (+.f64 (*.f64 -6 (/.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (sin.f64 x))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (pow.f64 (sin.f64 x) 3))))))))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (/.f64 (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x)) (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (fma.f64 -6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)))))))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) (*.f64 -6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))))) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (-.f64 (+.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (-.f64 (+.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))))) (fma.f64 (pow.f64 eps 3) (*.f64 (fma.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (*.f64 -6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) 1/6) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (log.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (tan.f64 (+.f64 x eps)))
0.8b
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
3.7b
(tan.f64 (+.f64 x eps))
21.4b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series51.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
17.0ms
x
@0
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
8.0ms
x
@0
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
7.0ms
eps
@0
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
3.0ms
x
@inf
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
3.0ms
eps
@inf
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))

rewrite131.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
488×log-prod_binary64
392×fma-def_binary64
349×pow-prod-down_binary64
293×pow2_binary64
210×pow-to-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123725
2312325
Stop Event
node limit
Counts
3 → 174
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(cbrt.f64 (tan.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)) (log.f64 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(2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify349.0ms (1.6%)

Algorithm
egg-herbie
Rules
488×associate-/l*_binary64
406×associate-*r*_binary64
395×fma-def_binary64
330×associate-*l*_binary64
289×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035110228
113479656
254618875
Stop Event
node limit
Counts
246 → 233
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) x) (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) x) (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 8) 1) (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 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(cos.f64 x) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 5) 1) (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (cos.f64 x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 8) 1) (pow.f64 (sin.f64 x) 8)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 5) 1) (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/3))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 5) 1) (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 5) 1) (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/9))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/9))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 5) 1) (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 eps 3)) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) x) (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) -1) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (+.f64 -1 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) x) (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (fma.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) -1) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) 2/9 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 x x) (fma.f64 (+.f64 -1 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) 2/9 (+.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) -1/3)))) (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 8) 1) (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))) (+.f64 1/6 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 5) 1) (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 5) 1) (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 5) 1) (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) 1/3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1) x) (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (fma.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))) (*.f64 x x) (fma.f64 (+.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/9 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 8) (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 8) (pow.f64 (sin.f64 eps) 8)) 1/18)) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)) (+.f64 1/6 (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))) (+.f64 (*.f64 -1/3 (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))))))) (*.f64 -2/9 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))))) -1/3) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) -1) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) 2/9 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (+.f64 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3)) 1/6))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 8) (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 8) (pow.f64 (sin.f64 eps) 8)) 1/18))))) (+.f64 (fma.f64 1/3 (*.f64 (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 -1/3 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (+.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3)) (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/6))) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 (*.f64 -2/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18))))) -1/3)) (pow.f64 x 3) (fma.f64 (+.f64 -1 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) 2/9 (+.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) -1/3)))) (*.f64 x x) (fma.f64 (+.f64 (+.f64 (*.f64 -1/3 (+.f64 (+.f64 1/6 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 -1/2 (*.f64 (*.f64 (*.f64 -2/3 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/3 (*.f64 (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) 1/18)))) (*.f64 (*.f64 (*.f64 -2/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (+.f64 (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1/6) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3)) 1/6))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 8) (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 8) (pow.f64 (sin.f64 eps) 8)) 1/18))))) -1/3)) (pow.f64 x 3) (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
0
(-.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 eps (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 eps (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)
(*.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) 1/18)))
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(pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 x) 4)) 1/18))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18)))) (+.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 8) (pow.f64 (sin.f64 x) 8)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 8) (pow.f64 (sin.f64 x) 8)) 1/18)))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 -2/3 (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))))))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) x) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) x) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (fma.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) 2/9 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) 2/9 (+.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (*.f64 1/9 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) -1/3)))) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) 1/9) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) x) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 5) 1) (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))) (+.f64 1/6 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 5) 1) (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 5) 1) (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 8) 1) (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3))))) (pow.f64 x 3)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) 1) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (fma.f64 2/9 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (*.f64 (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18) (pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1/18))) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))) (*.f64 x x) (*.f64 (pow.f64 x 3) (fma.f64 -2/9 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 5) (pow.f64 (sin.f64 eps) 5)) 1/18)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 1/3 (*.f64 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(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
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(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
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(fma.f64 -1/3 (*.f64 (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18)) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1/3)) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (fma.f64 (*.f64 1/3 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 -1/3 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (fma.f64 (*.f64 1/3 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 5) 1) (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) 1) (sin.f64 x)) 1/9) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 eps 3)) (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (pow.f64 (sin.f64 x) 2)) 1/3))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3))))
(fma.f64 -1/3 (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18)) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (neg.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (fma.f64 1/3 (*.f64 eps (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18)) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18)) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (neg.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 -1/3 (*.f64 (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18)) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1/3)) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (fma.f64 1/3 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (fma.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18)) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1/3)) (*.f64 (sin.f64 x) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))))) (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 -1/3 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (fma.f64 1/3 (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 eps 3) (+.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 -2/3 (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/18))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (sin.f64 x) 5)) 1/18)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(exp.f64 (tan.f64 x))
0.3b
(exp.f64 (tan.f64 (+.f64 x eps)))
3.7b
(tan.f64 (+.f64 x eps))
6.1b
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
Compiler

Compiled 50 to 17 computations (66% saved)

series488.0ms (2.2%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
288.0ms
eps
@-inf
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
73.0ms
x
@inf
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
63.0ms
eps
@inf
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
36.0ms
x
@-inf
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
12.0ms
eps
@0
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))

rewrite131.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
601×prod-diff_binary64
584×log-prod_binary64
326×pow2_binary64
229×fma-def_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01230
125024
2326924
Stop Event
node limit
Counts
3 → 167
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (tan.f64 (+.f64 x eps)))
(exp.f64 (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 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simplify279.0ms (1.3%)

Algorithm
egg-herbie
Rules
484×+-commutative_binary64
403×div-sub_binary64
318×associate-/l*_binary64
316×times-frac_binary64
256×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02344375
17903971
231283556
378673512
Stop Event
node limit
Counts
227 → 210
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (+.f64 (*.f64 6 (/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (*.f64 1/2 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 3) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (*.f64 -6 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)) (+.f64 (*.f64 24 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (+.f64 (*.f64 -24 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (*.f64 -12 (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) 2)) (*.f64 24 (+.f64 (*.f64 1/24 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (*.f64 -6 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3))) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
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(*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (pow.f64 x 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)))))
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(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 (+.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
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(*.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
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(fma.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (neg.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3)) (fma.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (*.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 eps 3)) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (*.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))))))) (pow.f64 eps 3)) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))

eval2.2s (10.2%)

Compiler

Compiled 45143 to 21335 computations (52.7% saved)

prune698.0ms (3.2%)

Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New1357421399
Fresh28129
Picked101
Done235
Total1388461434
Error
0.1b
Counts
1434 → 46
Alt Table
Click to see full alt table
StatusErrorProgram
29.7b
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
37.9b
(-.f64 (tan.f64 eps) (tan.f64 x))
29.7b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
29.7b
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
37.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
24.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
61.4b
0
47.4b
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
24.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
23.5b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
50.2b
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
23.5b
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x)))
40.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)) (tan.f64 x))
45.8b
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
50.1b
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
31.5b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))))
49.9b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
31.5b
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
30.2b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))
50.1b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
30.6b
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
24.4b
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
37.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
27.8b
(/.f64 (sin.f64 eps) (cos.f64 eps))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
23.5b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
25.5b
(-.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
44.0b
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))
31.3b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
53.8b
(-.f64 eps (tan.f64 x))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
43.4b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
23.5b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
38.5b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
23.5b
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
49.7b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
31.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
23.5b
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
26.5b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
43.3b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
23.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
59.8b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
24.4b
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
Compiler

Compiled 1688 to 1038 computations (38.5% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))
0.1b
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)
4.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
Compiler

Compiled 53 to 16 computations (69.8% saved)

series35.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
4.0ms
x
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
4.0ms
eps
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
4.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
2.0ms
eps
@-inf
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))

rewrite110.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
554×log-prod_binary64
368×fma-def_binary64
310×pow2_binary64
239×fma-neg_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01166
124560
2366160
Stop Event
node limit
Counts
4 → 264
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))
(+.f64 (tan.f64 x) (tan.f64 eps))
Outputs
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simplify96.0ms (0.4%)

Algorithm
egg-herbie
Rules
842×fma-def_binary64
527×associate-/l*_binary64
471×associate-/r*_binary64
311×associate-*l/_binary64
293×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01983980
16523831
221783685
Stop Event
node limit
Counts
360 → 327
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (*.f64 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x (fma.f64 2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (fma.f64 (pow.f64 x 5) 2/15 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (fma.f64 (pow.f64 eps 3) 1/3 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (pow.f64 eps 3) 1/3 eps))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (fma.f64 1/3 (pow.f64 eps 3) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 5) 2/15)))
(+.f64 eps (fma.f64 (pow.f64 eps 3) 1/3 (fma.f64 (pow.f64 eps 5) 2/15 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 eps 3) 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (pow.f64 eps 5) 2/15 eps))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))

localize6.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
0.2b
(pow.f64 (cos.f64 x) 2)
0.3b
(pow.f64 (sin.f64 x) 2)
3.0b
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
Compiler

Compiled 50 to 27 computations (46% saved)

series10.0ms (0%)

Counts
4 → 36
Calls

15 calls:

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

rewrite88.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
977×pow1_binary64
900×add-log-exp_binary64
900×log1p-expm1-u_binary64
900×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043
121037
2252037
Stop Event
node limit
Counts
4 → 94
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) 1) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) eps) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (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 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))

simplify50.0ms (0.2%)

Algorithm
egg-herbie
Rules
417×fma-neg_binary64
358×times-frac_binary64
350×fma-def_binary64
349×distribute-rgt-in_binary64
318×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074651
1204621
2588586
32542578
Stop Event
node limit
Counts
130 → 125
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))
(fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x)))
(*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x)))))
(fma.f64 (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (pow.f64 x 8) (fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))))
(fma.f64 (*.f64 eps 62/315) (pow.f64 x 8) (fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (fma.f64 x x (*.f64 -1/315 (pow.f64 x 8)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 x (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (*.f64 x x))
(-.f64 (*.f64 (pow.f64 x 4) 1/3) (fma.f64 x x -1))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 6) -2/45 (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 x 6) -2/45 (*.f64 (pow.f64 x 4) 1/3)) (fma.f64 x x -1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x))))
(fma.f64 (pow.f64 x 8) 62/315 (fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45))))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x))))
0.2b
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x))
0.2b
(*.f64 (tan.f64 eps) (sin.f64 x))
4.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
Compiler

Compiled 76 to 19 computations (75% saved)

series18.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite153.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
858×log-prod_binary64
573×fma-def_binary64
298×expm1-udef_binary64
297×log1p-udef_binary64
288×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01478
131663
2482563
Stop Event
node limit
Counts
4 → 231
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(*.f64 (tan.f64 eps) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x))))
Outputs
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simplify193.0ms (0.9%)

Algorithm
egg-herbie
Rules
574×times-frac_binary64
521×associate-/l*_binary64
331×distribute-rgt-in_binary64
324×associate-/r*_binary64
305×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02304124
17453997
224683800
Stop Event
node limit
Counts
327 → 298
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 2/15 (*.f64 (pow.f64 eps 5) (sin.f64 x)))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 17/315 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (*.f64 2/15 (*.f64 (pow.f64 eps 5) (sin.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (*.f64 1/24 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (pow.f64 x 7)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) x) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/3) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (fma.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) -1/3) (cos.f64 eps)) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (cos.f64 eps) -1/3))) (pow.f64 x 3) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1/3) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (*.f64 (/.f64 eps (/.f64 (cos.f64 x) eps)) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)
0.2b
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))
0.2b
(pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3)
4.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
Compiler

Compiled 79 to 32 computations (59.5% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
1.0ms
x
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
1.0ms
eps
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
1.0ms
eps
@inf
(pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3)

rewrite149.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
616×log-prod_binary64
380×fma-def_binary64
346×pow2_binary64
235×pow1/3_binary64
235×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
131254
2415054
Stop Event
node limit
Counts
4 → 198
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
(pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3)
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))
(fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (+.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 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(+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1/3))))))

simplify85.0ms (0.4%)

Algorithm
egg-herbie
Rules
961×fma-def_binary64
918×times-frac_binary64
464×associate-/l*_binary64
446×associate-/r*_binary64
326×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01813661
16313511
221633381
Stop Event
node limit
Counts
294 → 220
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 1 (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2)) (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2)) (*.f64 eps (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))))))
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
1
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) x) 1)
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) x) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) x) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -2/3 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 2)))))
(pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
(pow.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) 3)
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (*.f64 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (*.f64 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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1
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(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) 3)
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(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3)
(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) 3)
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(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3)
(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) 3)
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(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3)
(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) 3)
1
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(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3)
(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) 3)
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(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) 3)
(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) 3)
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(pow.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))) 3)
1
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(-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))

eval707.0ms (3.2%)

Compiler

Compiled 27084 to 10651 computations (60.7% saved)

prune301.0ms (1.4%)

Pruning

54 alts after pruning (48 fresh and 6 done)

PrunedKeptTotal
New94129970
Fresh191938
Picked011
Done257
Total962541016
Error
0.0b
Counts
1016 → 54
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
23.5b
(-.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
37.9b
(-.f64 (tan.f64 eps) (tan.f64 x))
29.7b
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
29.7b
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
23.5b
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
61.4b
0
23.5b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
29.7b
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
44.0b
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
47.4b
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
31.4b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
50.2b
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
29.7b
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
43.5b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
29.9b
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
40.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)) (tan.f64 x))
31.6b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
43.0b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
45.8b
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
43.3b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
50.1b
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
29.8b
(+.f64 eps (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps))
29.7b
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
47.1b
(+.f64 eps (*.f64 eps (*.f64 x x)))
31.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
49.9b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
30.2b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))
26.6b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
50.1b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
30.6b
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
24.4b
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
37.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
27.8b
(/.f64 (sin.f64 eps) (cos.f64 eps))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
23.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
25.5b
(-.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
53.8b
(-.f64 eps (tan.f64 x))
46.5b
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
23.5b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
31.5b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
42.4b
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
24.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
14.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
49.7b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
47.3b
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
23.5b
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
29.9b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
23.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
59.8b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
37.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
Compiler

Compiled 1856 to 1167 computations (37.1% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 x) (cos.f64 eps))
0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
0.3b
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
3.8b
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
Compiler

Compiled 165 to 32 computations (80.6% saved)

series95.0ms (0.4%)

Counts
4 → 60
Calls

21 calls:

TimeVariablePointExpression
65.0ms
eps
@0
(/.f64 (sin.f64 x) (cos.f64 eps))
4.0ms
eps
@-inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
4.0ms
eps
@inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
4.0ms
x
@-inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
3.0ms
eps
@0
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))

rewrite406.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
510×fma-def_binary64
326×expm1-udef_binary64
325×log1p-udef_binary64
300×fma-neg_binary64
266×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
134660
2554160
Stop Event
node limit
Counts
4 → 280
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) 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simplify127.0ms (0.6%)

Algorithm
egg-herbie
Rules
417×times-frac_binary64
399×associate-/l*_binary64
376×distribute-rgt-in_binary64
354×distribute-lft-in_binary64
274×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02102430
16832286
224762114
Stop Event
node limit
Counts
340 → 338
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cos.f64 x))))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (*.f64 1/24 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (pow.f64 x 7)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 eps 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/24 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 -1/720 (/.f64 (sin.f64 x) (cos.f64 x))))))) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 eps 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 x (cos.f64 eps))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps))) (/.f64 x (cos.f64 eps)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (cos.f64 eps))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps))) (/.f64 x (cos.f64 eps))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (cos.f64 eps))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps))) (+.f64 (/.f64 x (cos.f64 eps)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) (cos.f64 eps))))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 -1/4 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 -1/4 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 -1/4 (sin.f64 x)))) (+.f64 (*.f64 1/48 (sin.f64 x)) (*.f64 -1/720 (sin.f64 x)))))))))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(fma.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/2))) (pow.f64 x 4) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 1/3) (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
(fma.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/2))) (pow.f64 x 4) (fma.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 1/6 (fma.f64 -1/2 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/2))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)))))
(fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 1/3) (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (fma.f64 (neg.f64 (pow.f64 x 5)) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 1/6 (sin.f64 eps)) (cos.f64 eps)) (cos.f64 eps)) (sin.f64 eps)) (+.f64 1/6 (-.f64 (+.f64 -1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 1/3) (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))))
(-.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))) (*.f64 (pow.f64 x 5) (+.f64 (-.f64 (+.f64 -1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 eps) 1/6) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps)) 1/6))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 x (cos.f64 eps))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps))) (/.f64 x (cos.f64 eps)))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps)) (/.f64 x (cos.f64 eps)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (cos.f64 eps))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps))) (/.f64 x (cos.f64 eps))))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) (cos.f64 eps)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps)) (/.f64 x (cos.f64 eps))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (cos.f64 eps))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps))) (+.f64 (/.f64 x (cos.f64 eps)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) (cos.f64 eps))))))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) (cos.f64 eps)) (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps)) (/.f64 x (cos.f64 eps))) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) (cos.f64 eps)))))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) (cos.f64 eps)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps)) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) (cos.f64 eps)) (/.f64 x (cos.f64 eps)))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 -1/4 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x)))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -5/24)) (fma.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -5/24 (pow.f64 eps 4))))
(fma.f64 (+.f64 (*.f64 1/2 (*.f64 eps eps)) 1) (sin.f64 x) (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 5/24)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 -1/4 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 -1/4 (sin.f64 x)))) (+.f64 (*.f64 1/48 (sin.f64 x)) (*.f64 -1/720 (sin.f64 x)))))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -5/24)) (+.f64 (fma.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)) (neg.f64 (*.f64 (pow.f64 eps 6) (fma.f64 1/2 (*.f64 (sin.f64 x) -5/24) (*.f64 (sin.f64 x) 7/360))))))
(-.f64 (-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)) (*.f64 (pow.f64 eps 6) (fma.f64 (sin.f64 x) 7/360 (*.f64 (sin.f64 x) -5/48)))) (*.f64 (sin.f64 x) (*.f64 -5/24 (pow.f64 eps 4))))
(-.f64 (fma.f64 (+.f64 (*.f64 1/2 (*.f64 eps eps)) 1) (sin.f64 x) (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 5/24))) (*.f64 (pow.f64 eps 6) (*.f64 (sin.f64 x) -61/720)))

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 eps (*.f64 eps (*.f64 x x)))
7.9b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 19 to 5 computations (73.7% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite95.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
718×pow1_binary64
669×add-log-exp_binary64
669×log1p-expm1-u_binary64
669×expm1-log1p-u_binary64
652×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
113115
2187415
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x x))
(+.f64 eps (*.f64 eps (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 eps (*.f64 x x)))) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (*.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x x) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))) (neg.f64 (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 x x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) eps eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps (*.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (cbrt.f64 (*.f64 eps (*.f64 x x))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 eps)) (*.f64 x (sqrt.f64 eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps x) x eps)))))

simplify108.0ms (0.5%)

Algorithm
egg-herbie
Rules
1093×fma-neg_binary64
854×fma-def_binary64
496×distribute-rgt-neg-in_binary64
460×unswap-sqr_binary64
425×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016393
141351
289351
3253351
4655351
51293351
61855351
72745351
84381351
96225351
107669351
Stop Event
node limit
Counts
98 → 58
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)

localize77.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
0.3b
(pow.f64 (sin.f64 x) 2)
0.5b
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
3.0b
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps)
Compiler

Compiled 78 to 57 computations (26.9% saved)

series13.0ms (0.1%)

Counts
3 → 32
Calls

12 calls:

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

rewrite82.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
676×log-prod_binary64
496×prod-diff_binary64
354×pow2_binary64
248×pow1/3_binary64
246×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01355
128437
2362337
Stop Event
node limit
Counts
3 → 117
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8 1/8) (/.f64 1 (fma.f64 (*.f64 1/2 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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (cos.f64 (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (+.f64 x x)) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (pow.f64 (cos.f64 x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (pow.f64 (cos.f64 x) 2) 2))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (sqrt.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8 1/8)) (fma.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (fma.f64 1/2 (cos.f64 (+.f64 x x)) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (pow.f64 (cos.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (pow.f64 (cos.f64 x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))))))

simplify69.0ms (0.3%)

Algorithm
egg-herbie
Rules
457×associate-+l+_binary64
417×fma-neg_binary64
393×associate-+r+_binary64
348×distribute-rgt-in_binary64
317×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069713
1180643
2505608
32237600
Stop Event
node limit
Counts
149 → 142
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))
(fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x)))
(*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 (*.f64 eps 2/3) (pow.f64 x 4) (*.f64 eps (*.f64 x x)))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (fma.f64 (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (pow.f64 x 8) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (fma.f64 (*.f64 eps 62/315) (pow.f64 x 8) (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))))
(/.f64 eps (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 eps (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (fma.f64 1/2 (cos.f64 (*.f64 x 2)) 1/2)))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 x (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (*.f64 x x))
(-.f64 (*.f64 (pow.f64 x 4) 1/3) (fma.f64 x x -1))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (-.f64 (*.f64 (pow.f64 x 6) -2/45) (*.f64 x x))))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (fma.f64 x x -1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45)))
(fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (fma.f64 (pow.f64 x 8) 62/315 (*.f64 (pow.f64 x 6) 17/45))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 x x (*.f64 (pow.f64 x 8) 62/315))))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
0.4b
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)
3.0b
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps)
9.7b
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
Compiler

Compiled 71 to 35 computations (50.7% saved)

series13.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
3.0ms
x
@-inf
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
2.0ms
x
@inf
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps)
1.0ms
eps
@0
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps)
1.0ms
x
@0
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)

rewrite95.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
526×log-prod_binary64
392×exp-prod_binary64
316×pow-prod-down_binary64
295×pow2_binary64
217×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01327
128827
2298927
Stop Event
node limit
Counts
4 → 149
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 12 (log.f64 (tan.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 5) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 x) 4) 1) (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 4) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (tan.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (tan.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 18)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 12 (log.f64 (tan.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1) 1))))))

simplify62.0ms (0.3%)

Algorithm
egg-herbie
Rules
392×associate-/l*_binary64
359×distribute-rgt-in_binary64
340×fma-neg_binary64
332×distribute-lft-in_binary64
253×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072993
1188968
2540935
32429929
Stop Event
node limit
Counts
209 → 129
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 8) (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))) (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))))))) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 6)
(+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6))
(+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6)))
(+.f64 (*.f64 2266/945 (pow.f64 x 12)) (+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6))))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 62/315 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 (*.f64 x x) eps)
(*.f64 x (*.f64 x eps))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))
(fma.f64 (pow.f64 x 4) (*.f64 2/3 eps) (*.f64 x (*.f64 x eps)))
(*.f64 eps (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3))))
(fma.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (fma.f64 (pow.f64 x 4) (*.f64 2/3 eps) (*.f64 x (*.f64 x eps))))
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (*.f64 eps (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 x 8) (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))) (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))))))) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(fma.f64 (pow.f64 x 8) (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 1/3 (*.f64 eps 2/3) (neg.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))))))) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))))
(fma.f64 (pow.f64 x 8) (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (fma.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (fma.f64 (pow.f64 x 4) (*.f64 2/3 eps) (*.f64 x (*.f64 x eps)))))
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (fma.f64 (pow.f64 x 8) (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (*.f64 eps (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))))
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (fma.f64 (pow.f64 x 8) (*.f64 eps 62/315) (*.f64 eps (fma.f64 2/3 (pow.f64 x 4) (*.f64 x x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 6)
(+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6))
(fma.f64 2 (pow.f64 x 8) (pow.f64 x 6))
(+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6)))
(fma.f64 37/15 (pow.f64 x 10) (fma.f64 2 (pow.f64 x 8) (pow.f64 x 6)))
(+.f64 (*.f64 2266/945 (pow.f64 x 12)) (+.f64 (*.f64 37/15 (pow.f64 x 10)) (+.f64 (*.f64 2 (pow.f64 x 8)) (pow.f64 x 6))))
(fma.f64 2266/945 (pow.f64 x 12) (fma.f64 37/15 (pow.f64 x 10) (fma.f64 2 (pow.f64 x 8) (pow.f64 x 6))))
(fma.f64 37/15 (pow.f64 x 10) (fma.f64 2266/945 (pow.f64 x 12) (fma.f64 2 (pow.f64 x 8) (pow.f64 x 6))))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (cos.f64 x) 6))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 17/45 (pow.f64 x 6) (*.f64 62/315 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.4b
(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
4.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
4.5b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
Compiler

Compiled 90 to 27 computations (70% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite315.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
685×log-prod_binary64
512×fma-def_binary64
261×fma-neg_binary64
255×pow1/3_binary64
252×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
127554
2401954
Stop Event
node limit
Counts
2 → 150
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
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simplify246.0ms (1.1%)

Algorithm
egg-herbie
Rules
891×fma-def_binary64
625×times-frac_binary64
395×associate-/l*_binary64
394×distribute-rgt-in_binary64
381×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01613784
15473679
219953513
Stop Event
node limit
Counts
198 → 185
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))))) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2))))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
1
(+.f64 1 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))
(+.f64 1 (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4/3)) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) x) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2)) (*.f64 (*.f64 x x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (*.f64 x (*.f64 x (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) x) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x) (*.f64 (+.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x x)) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))))))) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (cos.f64 eps) 2)) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))))))) (*.f64 (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2)) (*.f64 (*.f64 x x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) x) (pow.f64 (sin.f64 eps) 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 x 3) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (/.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (*.f64 (*.f64 x x) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x x)) (*.f64 (pow.f64 x 3) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4/3)) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))))) (fma.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
1
(+.f64 1 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)
(+.f64 1 (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))
(+.f64 1 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))
(+.f64 1 (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) 1))
(+.f64 1 (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(+.f64 1 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (*.f64 eps eps) (fma.f64 -1 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (*.f64 (neg.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))) (-.f64 (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))
(+.f64 1 (fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) 1/3)) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) eps)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))))

eval829.0ms (3.8%)

Compiler

Compiled 46021 to 15698 computations (65.9% saved)

prune395.0ms (1.8%)

Pruning

62 alts after pruning (54 fresh and 8 done)

PrunedKeptTotal
New1200221222
Fresh113243
Picked011
Done3710
Total1214621276
Error
0.0b
Counts
1276 → 62
Alt Table
Click to see full alt table
StatusErrorProgram
24.4b
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
29.7b
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
23.5b
(-.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
37.9b
(-.f64 (tan.f64 eps) (tan.f64 x))
29.7b
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
53.4b
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
23.5b
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
29.9b
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
61.4b
0
44.9b
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
37.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
47.4b
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
31.4b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
23.5b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
50.2b
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
43.5b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
27.8b
(/.f64 (sin.f64 eps) (cos.f64 eps))
14.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
29.9b
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
40.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)) (tan.f64 x))
31.6b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
45.8b
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
43.3b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
29.8b
(+.f64 eps (*.f64 (pow.f64 (+.f64 0 (pow.f64 (tan.f64 x) 6)) 1/3) eps))
46.5b
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
50.1b
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
29.7b
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
47.1b
(+.f64 eps (*.f64 eps (*.f64 x x)))
31.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
49.9b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
30.0b
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps)))
26.6b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
14.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (neg.f64 (tan.f64 x))))
50.1b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
52.2b
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 6) 1/3))
47.0b
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
30.6b
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
24.4b
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
37.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
29.7b
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
45.4b
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
43.7b
eps
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
29.7b
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
61.6b
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
23.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
25.5b
(-.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
53.8b
(-.f64 eps (tan.f64 x))
23.6b
(*.f64 3 (*.f64 1/3 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
23.5b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
14.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (log.f64 (exp.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)))))
31.5b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
29.8b
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
24.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
49.7b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
23.5b
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
29.7b
(+.f64 eps (*.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) eps))
23.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
59.8b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
23.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
Compiler

Compiled 1122 to 702 computations (37.4% saved)

regimes1.1s (4.8%)

Counts
128 → 3
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(+.f64 eps (*.f64 (pow.f64 (+.f64 0 (pow.f64 (tan.f64 x) 6)) 1/3) eps))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) eps))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 6) 1/3))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
(+.f64 eps (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(*.f64 3 (*.f64 1/3 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(-.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)) (tan.f64 x))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (cos.f64 x))))
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (log.f64 (exp.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) 1)) (tan.f64 x)))))
(-.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 2))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
Calls

4 calls:

364.0ms
x
274.0ms
eps
257.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
104.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.7b4x
0.3b3eps
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2094 to 805 computations (61.6% saved)

bsearch106.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
50.0ms
1.0112975026322292e-13
1.6241533552148358e-11
55.0ms
-5.614677023097842e-7
-5.178870441245262e-15
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes663.0ms (3%)

Counts
112 → 3
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(+.f64 eps (*.f64 (pow.f64 (+.f64 0 (pow.f64 (tan.f64 x) 6)) 1/3) eps))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) eps))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 6) 1/3))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
(+.f64 eps (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(*.f64 3 (*.f64 1/3 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(-.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1) 3))) (tan.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
Calls

4 calls:

294.0ms
x
157.0ms
eps
89.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
81.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.3b4x
0.3b3eps
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1520 to 621 computations (59.1% saved)

bsearch157.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
78.0ms
1.0112975026322292e-13
1.6241533552148358e-11
77.0ms
-5.614677023097842e-7
-5.178870441245262e-15
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes741.0ms (3.4%)

Counts
101 → 3
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(+.f64 eps (*.f64 (pow.f64 (+.f64 0 (pow.f64 (tan.f64 x) 6)) 1/3) eps))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) eps))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 6) 1/3))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
(+.f64 eps (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(*.f64 3 (*.f64 1/3 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(-.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
Calls

4 calls:

257.0ms
x
211.0ms
eps
111.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
108.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.3b4x
0.3b3eps
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1309 to 547 computations (58.2% saved)

bsearch159.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
77.0ms
1.0112975026322292e-13
1.6241533552148358e-11
80.0ms
-5.614677023097842e-7
-5.178870441245262e-15
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes602.0ms (2.7%)

Counts
87 → 3
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(+.f64 eps (*.f64 (pow.f64 (+.f64 0 (pow.f64 (tan.f64 x) 6)) 1/3) eps))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) eps))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 6) 1/3))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
(+.f64 eps (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
Calls

4 calls:

181.0ms
x
170.0ms
eps
104.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
102.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.3b4x
0.3b3eps
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1046 to 456 computations (56.4% saved)

bsearch97.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
1.0112975026322292e-13
1.6241533552148358e-11
48.0ms
-5.614677023097842e-7
-5.178870441245262e-15
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes453.0ms (2.1%)

Counts
79 → 3
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(+.f64 eps (*.f64 (pow.f64 (+.f64 0 (pow.f64 (tan.f64 x) 6)) 1/3) eps))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) eps))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 6) 1/3))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
(+.f64 eps (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

4 calls:

161.0ms
x
154.0ms
eps
58.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
54.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b4x
0.3b3eps
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 905 to 409 computations (54.8% saved)

bsearch99.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
1.0112975026322292e-13
1.6241533552148358e-11
49.0ms
-5.614677023097842e-7
-5.178870441245262e-15
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes311.0ms (1.4%)

Counts
73 → 3
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 1) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(+.f64 eps (*.f64 (pow.f64 (+.f64 0 (pow.f64 (tan.f64 x) 6)) 1/3) eps))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (exp.f64 (tan.f64 (+.f64 x eps)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 (cos.f64 x))) eps))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 6) 1/3))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/6) 3) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) eps))
(+.f64 eps (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3) eps))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
Outputs
(-.f64 (tan.f64 eps) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
Calls

4 calls:

92.0ms
eps
88.0ms
x
59.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
48.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
15.6b3x
13.6b3eps
14.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 799 to 374 computations (53.2% saved)

bsearch99.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
51.0ms
1.0112975026322292e-13
1.6241533552148358e-11
47.0ms
-7.037914776561144e-5
-5.614677023097842e-7
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes117.0ms (0.5%)

Counts
24 → 3
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(+.f64 eps (*.f64 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) eps))
(+.f64 eps (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 x)) 2)) eps))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 6)) eps))
(+.f64 eps (*.f64 (exp.f64 (*.f64 2 (log.f64 (tan.f64 x)))) eps))
Outputs
(-.f64 (tan.f64 eps) (tan.f64 x))
(+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

4 calls:

35.0ms
x
34.0ms
eps
22.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
15.6b3x
13.7b3eps
14.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 238 to 124 computations (47.9% saved)

bsearch97.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
1.0112975026322292e-13
1.6241533552148358e-11
48.0ms
-7.037914776561144e-5
-5.614677023097842e-7
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes31.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

4 calls:

8.0ms
x
8.0ms
eps
7.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
27.8b1x
27.8b1eps
27.8b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
27.8b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 119 to 60 computations (49.6% saved)

regimes13.0ms (0.1%)

Accuracy

Total -19.3b remaining (-44.2%)

Threshold costs -19.3b (-44.2%)

Counts
7 → 1
Calls
Call 1
Inputs
eps
0
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(-.f64 (+.f64 1 (fma.f64 eps (*.f64 x x) eps)) 1)
(+.f64 eps (*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
Outputs
eps
Calls

2 calls:

6.0ms
x
5.0ms
eps
Results
ErrorSegmentsBranch
43.7b1x
43.7b1eps
Compiler

Compiled 68 to 36 computations (47.1% saved)

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
19×+-commutative_binary64
14×sub-neg_binary64
11×*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069543
1100543
2122543
3135543
4141543
5144543
6145543
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5193064507832087/73786976294838206464) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))))
(if (<=.f64 eps -5193064507832087/73786976294838206464) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
eps
Outputs
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (log.f64 (exp.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5302912517203113/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5193064507832087/73786976294838206464) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))))
(if (<=.f64 eps -5193064507832087/73786976294838206464) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -5193064507832087/73786976294838206464) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -5193064507832087/73786976294838206464) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 1001540536110199/9903520314283042199192993792) (+.f64 eps (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
eps
Compiler

Compiled 359 to 184 computations (48.7% saved)

soundness97.0ms (0.4%)

Algorithm
egg-herbie
Rules
891×fma-def_binary64
625×times-frac_binary64
395×associate-/l*_binary64
394×distribute-rgt-in_binary64
381×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01613784
15473679
219953513
Stop Event
node limit
Compiler

Compiled 944 to 601 computations (36.3% saved)

end111.0ms (0.5%)

Compiler

Compiled 343 to 120 computations (65% saved)

Profiling

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