Details

Time bar (total: 21.8s)

analyze564.0ms (2.6%)

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)

sample5.2s (23.8%)

Results
2.3s3631×body1024valid
1.7s1229×body2048valid
796.0ms1418×body512valid
375.0ms1976×body256valid
4.0msbody4096valid
Bogosity

preprocess26.0ms (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)

simplify14.0ms (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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
36.7b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
36.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.1b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series37.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
25.0ms
eps
@0
(tan.f64 (+.f64 x eps))
2.0ms
x
@0
(tan.f64 (+.f64 x eps))
1.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

rewrite82.0ms (0.4%)

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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simplify120.0ms (0.5%)

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)))

eval758.0ms (3.5%)

Compiler

Compiled 4539 to 1832 computations (59.6% saved)

prune117.0ms (0.5%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New15635191
Fresh000
Picked011
Done000
Total15636192
Error
0.2b
Counts
192 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
51.0b
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
36.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
45.6b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
49.3b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
37.4b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
19.6b
(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)))
48.6b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
48.9b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
37.4b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
37.1b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
19.7b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
40.6b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
36.7b
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
33.3b
(+.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)))
37.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
32.8b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
19.8b
(+.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))))
49.6b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
32.9b
(*.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))
37.1b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
36.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
45.5b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
40.4b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
19.8b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
36.8b
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
41.3b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
36.9b
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
46.0b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
49.4b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
19.7b
(/.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)))
48.3b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
45.7b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
45.6b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
30.9b
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
Compiler

Compiled 1113 to 756 computations (32.1% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
1.7b
(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)))
Compiler

Compiled 56 to 19 computations (66.1% saved)

series25.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(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)))
4.0ms
eps
@-inf
(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)))
2.0ms
eps
@0
(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)))
2.0ms
eps
@inf
(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)))
2.0ms
x
@-inf
(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)))

rewrite99.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
572×log-prod_binary64
332×fma-def_binary64
319×pow2_binary64
218×pow1/3_binary64
218×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01259
126556
2371552
Stop Event
node limit
Counts
4 → 165
Calls
Call 1
Inputs
(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 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (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 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) -2) (/.f64 1 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (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 (/.f64 1 (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 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2) 1/2)))) (#(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 (/.f64 1 (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 pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))) (#(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 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))))))

simplify92.0ms (0.4%)

Algorithm
egg-herbie
Rules
776×fma-def_binary64
658×associate-*r*_binary64
640×associate-*l*_binary64
407×times-frac_binary64
379×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01773434
15493418
217423336
Stop Event
node limit
Counts
261 → 231
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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.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)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.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 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.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)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.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)))) (sin.f64 x)) (cos.f64 x))) (/.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 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)))
1
(+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 1 (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.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 3))))))
(/.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 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
1
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.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 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(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) 3) (pow.f64 (cos.f64 eps) 3)) (/.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 (+.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 x (*.f64 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 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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 (fma.f64 -1 (/.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3) (fma.f64 (+.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))))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/3) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) -1/3)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (pow.f64 x 3) (fma.f64 x (*.f64 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 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 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) (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 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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
1
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) 1)
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 1 (+.f64 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (fma.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) eps)) (pow.f64 (sin.f64 x) 2) 1))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.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 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (fma.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 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (+.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))) (fma.f64 (neg.f64 (pow.f64 eps 3)) (fma.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (fma.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) eps)) (pow.f64 (sin.f64 x) 2) 1)))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 eps)
0.1b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.2b
(/.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
(cos.f64 eps)
0.0ms
x
@0
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms
eps
@inf
(/.f64 (sin.f64 eps) (cos.f64 eps))
0.0ms
eps
@0
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

rewrite96.0ms (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))
(cos.f64 eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) -2) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) -1/2) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (tan.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 eps)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 eps)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 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 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 eps) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 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 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (tan.f64 eps) 1 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (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 fma.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 eps))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 eps))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 eps)) 1) 1))))))

simplify76.0ms (0.3%)

Algorithm
egg-herbie
Rules
727×fma-def_binary64
663×fma-neg_binary64
530×unswap-sqr_binary64
455×*-commutative_binary64
439×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067524
1170512
2394508
31157506
43530506
57241506
Stop Event
node limit
Counts
240 → 238
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)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
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 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 17/315 (pow.f64 eps 7) 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)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 eps -1/2) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 1))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
0.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
0.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.1b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series15.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@0
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
4.0ms
eps
@0
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms
x
@0
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.0ms
eps
@0
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.0ms
x
@inf
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

rewrite81.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119124
2282624
Stop Event
node limit
Counts
2 → 139
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
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simplify75.0ms (0.3%)

Algorithm
egg-herbie
Rules
678×distribute-rgt-in_binary64
658×distribute-lft-in_binary64
580×times-frac_binary64
394×associate-/l*_binary64
293×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01812946
15732793
220972524
Stop Event
node limit
Counts
187 → 175
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))))))))))))
(+.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)))
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(-.f64 (+.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))) 1)
(-.f64 (+.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.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 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2))))) 1)
(-.f64 (+.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 -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))))))) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.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 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(*.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 (*.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 (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 (*.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))))))))))) (pow.f64 eps 3)) (*.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 (*.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 (+.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))))))))))) (pow.f64 eps 3)) (+.f64 (*.f64 (+.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)))))))))) (pow.f64 eps 4)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.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 x x) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (-.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 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))
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(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.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 (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 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
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(*.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)))))))))
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(fma.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))) (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 (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))))))))))) (pow.f64 eps 3) (*.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 1/2 (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))))) (fma.f64 (pow.f64 eps 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 (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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))
(fma.f64 (*.f64 eps 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)))))) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6) (/.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)))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))
(+.f64 (*.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 (*.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))))))))))) (pow.f64 eps 3)) (+.f64 (*.f64 (+.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)))))))))) (pow.f64 eps 4)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(fma.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))) (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 (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))))))))))) (pow.f64 eps 3) (fma.f64 (fma.f64 1/24 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.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))))))))) (*.f64 (-.f64 1 (neg.f64 (/.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)) (+.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)))))))))))))) (pow.f64 eps 4) (*.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 1/2 (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))))) (fma.f64 (pow.f64 eps 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 (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))) (fma.f64 (pow.f64 eps 4) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (fma.f64 1/2 (*.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))) 3)) (-.f64 (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (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 (sin.f64 x) (/.f64 (cos.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))))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))))
(fma.f64 (*.f64 eps 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)))))) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6) (/.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)))))) (fma.f64 (pow.f64 eps 4) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (-.f64 (*.f64 1/2 (+.f64 (*.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))) 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))) (+.f64 (+.f64 (*.f64 (/.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)))))) (*.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)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 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))))))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 (tan.f64 (+.f64 x eps)))
0.7b
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
4.1b
(tan.f64 (+.f64 x eps))
20.4b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series43.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
9.0ms
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))
5.0ms
x
@0
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
4.0ms
x
@inf
(-.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))

rewrite83.0ms (0.4%)

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
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simplify201.0ms (0.9%)

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)))))
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(-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3)) (/.f64 (sin.f64 x) (cos.f64 x)))
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(+.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))))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
0.9b
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
4.1b
(cos.f64 (+.f64 eps x))
4.2b
(sin.f64 (+.f64 eps x))
Compiler

Compiled 48 to 10 computations (79.2% saved)

series8.0ms (0%)

Counts
4 → 64
Calls

24 calls:

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

rewrite113.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
737×log-prod_binary64
551×fma-def_binary64
293×fma-neg_binary64
262×expm1-udef_binary64
262×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
126329
2423329
Stop Event
node limit
Counts
4 → 273
Calls
Call 1
Inputs
(sin.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 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simplify94.0ms (0.4%)

Algorithm
egg-herbie
Rules
844×fma-def_binary64
437×distribute-rgt-in_binary64
424×distribute-lft-in_binary64
326×associate-+l+_binary64
271×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01642102
15051909
216501724
377331689
Stop Event
node limit
Counts
337 → 341
Calls
Call 1
Inputs
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 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 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)))
(/.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 (*.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 (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 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 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 (*.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))))
Outputs
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (sin.f64 x) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) eps (fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (cos.f64 eps) (sin.f64 eps)))
(fma.f64 x (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (cos.f64 eps) (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 (sin.f64 x) eps))
(-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (sin.f64 x) eps))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 (sin.f64 x) eps)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 (pow.f64 eps 3) 1/6))))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (sin.f64 eps) (neg.f64 x))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 -1/2 (cos.f64 eps))) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
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(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.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)))
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(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.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 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
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(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 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))))))) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))))))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (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 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (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 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)))) (fma.f64 (/.f64 x (/.f64 (cos.f64 eps) x)) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))

eval1.2s (5.6%)

Compiler

Compiled 44100 to 19496 computations (55.8% saved)

prune314.0ms (1.4%)

Pruning

45 alts after pruning (43 fresh and 2 done)

PrunedKeptTotal
New1429381467
Fresh25530
Picked101
Done325
Total1458451503
Error
0.1b
Counts
1503 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
36.3b
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
36.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.8b
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
37.5b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
28.7b
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
19.6b
(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)))
35.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
33.2b
(*.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)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps)))
48.5b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
21.2b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
19.7b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
20.6b
(-.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))
36.8b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
32.8b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
44.3b
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
51.1b
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
19.7b
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
37.3b
(-.f64 (tan.f64 eps) (tan.f64 x))
50.3b
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
28.3b
(/.f64 (sin.f64 eps) (cos.f64 eps))
24.4b
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
19.8b
(+.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))))
36.8b
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
20.7b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
37.4b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
36.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
20.7b
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
20.1b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
60.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
19.8b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
39.4b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
19.7b
(/.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)))
32.9b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
29.0b
(fma.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
19.6b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (neg.f64 (tan.f64 x)))
19.8b
(-.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)))
48.3b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
53.8b
(-.f64 eps (tan.f64 x))
19.8b
(fma.f64 (/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
49.0b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
12.1b
(+.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))))
45.2b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
59.1b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
61.3b
0
Compiler

Compiled 1636 to 1011 computations (38.2% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
0.3b
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
2.8b
(-.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)))
Compiler

Compiled 155 to 30 computations (80.6% saved)

series33.0ms (0.2%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
16.0ms
eps
@inf
(-.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)))
2.0ms
eps
@-inf
(-.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)))
2.0ms
x
@inf
(-.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)))
2.0ms
x
@-inf
(-.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)))
2.0ms
x
@0
(-.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)))

rewrite117.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
499×fma-def_binary64
396×log-div_binary64
306×expm1-udef_binary64
305×log1p-udef_binary64
286×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
132432
2518532
Stop Event
node limit
Counts
3 → 247
Calls
Call 1
Inputs
(-.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 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 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eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 x)))))

simplify74.0ms (0.3%)

Algorithm
egg-herbie
Rules
758×fma-def_binary64
623×associate-*l*_binary64
397×times-frac_binary64
373×associate-/l*_binary64
303×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01752229
15632094
219851910
Stop Event
node limit
Counts
299 → 291
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 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)))
(/.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)))
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)))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.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 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.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 (/.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 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (/.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 (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) (fma.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 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (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 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (/.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 -1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (/.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))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6) (/.f64 (cos.f64 eps) (sin.f64 eps))) 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))))
(fma.f64 (pow.f64 x 5) (neg.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 eps) 1/6) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps) (fma.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/6)) (*.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)))))))) (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) (fma.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 (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 (/.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 (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 (/.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 (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 (/.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 (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 (/.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 (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 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) (cos.f64 x)) (/.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 (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 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) (cos.f64 x)) (/.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 (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 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) (cos.f64 x)) (/.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 (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 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) (cos.f64 x)) (/.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 (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 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.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)))
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(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
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(fma.f64 (pow.f64 eps 7) (-.f64 (-.f64 (/.f64 -1/5040 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/72)) (fma.f64 -1/2 (+.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120 (*.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1/24 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/720))) (fma.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120 (*.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1/24 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (pow.f64 eps 7) (-.f64 (*.f64 (/.f64 -1/5040 (cos.f64 x)) (sin.f64 x)) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 7/40) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/24)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/80))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/3 (pow.f64 eps 3)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 7/40) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/24)) (pow.f64 eps 5)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 x (cos.f64 eps)) (sin.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)))
(fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (pow.f64 x 3) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(fma.f64 (pow.f64 x 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 x))
(+.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))))
(fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) (pow.f64 x 5) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))))
(fma.f64 (pow.f64 x 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (fma.f64 (pow.f64 x 5) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/30) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps))))
(fma.f64 (pow.f64 x 5) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2/15) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 x)))
(+.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)))))
(fma.f64 (-.f64 (/.f64 (*.f64 -1/5040 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 -1/2 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))))) (pow.f64 x 7) (fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) (pow.f64 x 5) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/840) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/30) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/72))) (pow.f64 x 7) (fma.f64 (pow.f64 x 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (fma.f64 (pow.f64 x 5) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/30) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)))))
(fma.f64 (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -4/315) (*.f64 1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2/15))) (pow.f64 x 7) (fma.f64 (pow.f64 x 5) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2/15) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.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) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/3 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) 1/3 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)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) 1/3 x)))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 eps (tan.f64 x))
Compiler

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11126
215736
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 eps (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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 eps (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 eps (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 eps (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2) (cbrt.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) (sqrt.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (tan.f64 x)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (+.f64 eps (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 eps (neg.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 eps (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 eps (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 x)))))))

simplify88.0ms (0.4%)

Algorithm
egg-herbie
Rules
572×cancel-sign-sub-inv_binary64
498×fma-def_binary64
448×neg-mul-1_binary64
434×neg-sub0_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025241
159237
2130235
3358233
4756233
51850233
64318233
75548233
86721233
Stop Event
node limit
Counts
59 → 46
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
Outputs
(*.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 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (neg.f64 x))
(-.f64 eps x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 -1/3 (pow.f64 x 3) (-.f64 eps x))
(-.f64 eps (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 eps (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 eps (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5))) x))
(fma.f64 -1/3 (pow.f64 x 3) (-.f64 (fma.f64 -2/15 (pow.f64 x 5) eps) x))
(-.f64 (fma.f64 -2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) eps)) x)
(-.f64 (fma.f64 -2/15 (pow.f64 x 5) eps) (fma.f64 (pow.f64 x 3) 1/3 x))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x)))
0.2b
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
2.3b
(-.f64 (+.f64 eps x) x)
4.1b
(cos.f64 (+.f64 eps x))
Compiler

Compiled 62 to 12 computations (80.6% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x)))
1.0ms
eps
@-inf
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x)))
1.0ms
eps
@inf
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x)))
1.0ms
x
@-inf
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x)))
1.0ms
x
@inf
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x)))

rewrite92.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
671×log-prod_binary64
495×fma-def_binary64
284×fma-neg_binary64
247×pow1/3_binary64
242×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01040
124134
2388428
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(-.f64 (+.f64 eps x) x)
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 eps)) (cbrt.f64 (exp.f64 eps)))) (log.f64 (cbrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 eps))) (log.f64 (sqrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 eps (+.f64 x x)) (pow.f64 (+.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (/.f64 1 (+.f64 eps (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 eps (+.f64 x x)) (pow.f64 (+.f64 eps x) 2)) (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 eps (+.f64 x x)) (pow.f64 (+.f64 eps x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (+.f64 eps (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 eps (+.f64 x x)) (pow.f64 (+.f64 eps x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps)) (neg.f64 (+.f64 eps (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) 0) (fma.f64 eps eps (-.f64 0 (*.f64 eps 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 eps x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 eps eps 0) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 eps (+.f64 x x)) (pow.f64 (+.f64 eps x) 2)) (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 eps)))))) (#(struct:change #<rule 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(cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (cos.f64 (+.f64 eps x)) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 eps))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)) (sqrt.f64 (sin.f64 eps))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) (pow.f64 (sin.f64 eps) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 1))))))

simplify65.0ms (0.3%)

Algorithm
egg-herbie
Rules
832×times-frac_binary64
470×fma-def_binary64
422×distribute-rgt-neg-out_binary64
381×distribute-lft-neg-out_binary64
356×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088863
1261828
2763803
33848801
Stop Event
node limit
Counts
260 → 224
Calls
Call 1
Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(pow.f64 (cos.f64 x) 2)
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 -1 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (sin.f64 eps)) (*.f64 1/6 (sin.f64 eps))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 -1 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (pow.f64 (cos.f64 x) 2) eps)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(pow.f64 (cos.f64 x) 2)
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2))
(fma.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (pow.f64 (cos.f64 x) 2)) (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (cos.f64 x)) (sin.f64 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2))))
(fma.f64 1/6 (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 3)) (fma.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(fma.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 eps 3) (neg.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) (neg.f64 eps)))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 -1 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(+.f64 (cos.f64 eps) (*.f64 -1 (+.f64 (*.f64 x (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 x x)))))
(fma.f64 -1 (fma.f64 x (sin.f64 eps) (*.f64 x (*.f64 x (cos.f64 eps)))) (cos.f64 eps))
(-.f64 (cos.f64 eps) (*.f64 x (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (sin.f64 eps)) (*.f64 1/6 (sin.f64 eps))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 -1 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(+.f64 (cos.f64 eps) (fma.f64 (*.f64 (sin.f64 eps) 2/3) (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 x x))))))
(+.f64 (cos.f64 eps) (fma.f64 (*.f64 (sin.f64 eps) 2/3) (pow.f64 x 3) (neg.f64 (fma.f64 x (sin.f64 eps) (*.f64 x (*.f64 x (cos.f64 eps)))))))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 2/3) (cos.f64 eps)) (*.f64 x (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))))
(+.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 (pow.f64 x 3) 2/3) x)) (*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (cos.f64 eps)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (pow.f64 (cos.f64 x) 2) eps)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(fma.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (/.f64 (pow.f64 (cos.f64 x) 2) eps)) (*.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 -1/6 (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (*.f64 (pow.f64 (cos.f64 x) 2) 1/120))) (fma.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/120 (*.f64 (pow.f64 (cos.f64 x) 2) 1/18))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x)))))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/72) (*.f64 (pow.f64 (cos.f64 x) 2) -1/120)) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x)))))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/24 (*.f64 (pow.f64 (cos.f64 x) 2) -23/360)) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(fma.f64 -1 x (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(fma.f64 -1 x (fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 x x))) x)
(-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(fma.f64 -1 x (fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 x x))) (fma.f64 2/3 (pow.f64 x 3) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(-.f64 (-.f64 (fma.f64 (pow.f64 x 3) 2/3 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 x x))) x)
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 eps))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
0.3b
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
0.5b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
4.1b
(cos.f64 (+.f64 eps x))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series9.0ms (0%)

Counts
2 → 32
Calls

12 calls:

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

rewrite98.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
671×log-prod_binary64
516×fma-def_binary64
282×fma-neg_binary64
244×pow1/3_binary64
238×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
123927
2387527
Stop Event
node limit
Counts
2 → 185
Calls
Call 1
Inputs
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (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 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.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 (/.f64 (sin.f64 x) (cos.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)) (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))) (sqrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 1 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) 1))))))

simplify85.0ms (0.4%)

Algorithm
egg-herbie
Rules
678×fma-def_binary64
575×associate-*r*_binary64
566×associate-*l*_binary64
280×distribute-rgt-in_binary64
276×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201530
14011430
213621262
Stop Event
node limit
Counts
217 → 221
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps))))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 x 4))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (*.f64 eps (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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3)))))
(+.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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))))))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3))))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 x (cos.f64 eps))
(+.f64 (/.f64 x (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 x (cos.f64 eps)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps))))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 x 4))) (+.f64 (/.f64 x (cos.f64 eps)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 eps (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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (*.f64 eps (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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3))))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
Outputs
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
(fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (/.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))))
(fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps) (-.f64 (/.f64 x (cos.f64 eps)) x))
(+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps)))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (fma.f64 (-.f64 (-.f64 (/.f64 1/2 (cos.f64 eps)) 1/3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)) (/.f64 1/6 (cos.f64 eps)))) (pow.f64 x 3) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)))))
(fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (fma.f64 (-.f64 (+.f64 (/.f64 1/2 (cos.f64 eps)) -1/3) (-.f64 (/.f64 1/6 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3) (*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x))))
(fma.f64 (+.f64 (+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 1/3) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) -1/3) (pow.f64 x 3) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps) (-.f64 (/.f64 x (cos.f64 eps)) x)))
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(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
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(fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(-.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 eps (*.f64 eps (fma.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))))))
(fma.f64 (*.f64 eps eps) (neg.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3)))))
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(fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))))))) (*.f64 1/2 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (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 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))))))))))
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(-.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/3)) (neg.f64 (pow.f64 eps 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (fma.f64 eps (*.f64 eps (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (*.f64 (pow.f64 eps 4) (fma.f64 1/6 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/24 (fma.f64 -1/2 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 -1/4 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/3))))))))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 x (cos.f64 eps))
(+.f64 (/.f64 x (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)))
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(fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x) (/.f64 x (cos.f64 eps)))
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(+.f64 (/.f64 x (cos.f64 eps)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 eps)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)) (/.f64 1/6 (cos.f64 eps)))) (pow.f64 x 3) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)))))
(+.f64 (/.f64 x (cos.f64 eps)) (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (cos.f64 eps)) (-.f64 (/.f64 1/6 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)))) (*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x))))
(fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 1/3) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x) (/.f64 x (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps))))) (sin.f64 eps)) (cos.f64 eps))))) (pow.f64 x 4))) (+.f64 (/.f64 x (cos.f64 eps)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/6 (/.f64 1 (cos.f64 eps))))) (pow.f64 x 3)) (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (fma.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (cos.f64 eps)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)) (/.f64 1/6 (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 x (cos.f64 eps)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 eps)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)) (/.f64 1/6 (cos.f64 eps)))) (pow.f64 x 3) (/.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))))))
(fma.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) -1/3) (/.f64 (-.f64 (/.f64 1/2 (cos.f64 eps)) (-.f64 (/.f64 1/6 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (pow.f64 x 4) (+.f64 (/.f64 x (cos.f64 eps)) (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (cos.f64 eps)) (-.f64 (/.f64 1/6 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3)))) (*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)))))
(fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) -1/3) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 1/3) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))))) (neg.f64 (pow.f64 x 4)) (fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 1/3) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x) (/.f64 x (cos.f64 eps)))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (*.f64 eps (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 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 eps (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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 eps (*.f64 eps (fma.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))))))
(fma.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 eps (neg.f64 eps)) (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (*.f64 eps (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 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3))))))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (/.f64 (sin.f64 x) (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 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))))))))))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))))) (fma.f64 (neg.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))))))) (pow.f64 eps 3) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 eps (neg.f64 eps)) (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/3))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 x) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.4b
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
1.7b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
Compiler

Compiled 75 to 21 computations (72% saved)

series17.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
2.0ms
eps
@0
(expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
1.0ms
eps
@0
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
1.0ms
x
@inf
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
1.0ms
x
@0
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))

rewrite108.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
610×log-prod_binary64
344×fma-def_binary64
339×pow2_binary64
233×expm1-udef_binary64
233×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01447
128544
2386842
Stop Event
node limit
Counts
3 → 116
Calls
Call 1
Inputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
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 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 (/.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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 1) (tan.f64 x))))) (#(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 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) 2)) (log.f64 (cbrt.f64 (exp.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 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (log.f64 (sqrt.f64 (exp.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 (+.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 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 0) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) 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simplify111.0ms (0.5%)

Algorithm
egg-herbie
Rules
927×fma-def_binary64
754×associate-*r*_binary64
699×associate-*l*_binary64
592×times-frac_binary64
490×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01823150
15673140
218963076
Stop Event
node limit
Counts
188 → 167
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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.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)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.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 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.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)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.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)))) (sin.f64 x)) (cos.f64 x))) (/.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 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(-.f64 (exp.f64 (/.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 (*.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 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.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))))
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(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x (fma.f64 (pow.f64 x 3) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 x x) 1/2))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(fma.f64 (fma.f64 1/24 (/.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)) 1/3)) (pow.f64 x 4) (fma.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)) (pow.f64 x 3) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x x)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/3 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 4) (fma.f64 (pow.f64 x 3) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/6)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/3 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 4) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x (fma.f64 (pow.f64 x 3) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 x x) 1/2)))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 1/2 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(fma.f64 (pow.f64 eps 3) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1/6)) (fma.f64 1/2 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (cos.f64 x) 3))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) 1/6)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(fma.f64 (pow.f64 eps 3) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1/6)) (fma.f64 (pow.f64 eps 4) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (fma.f64 1/2 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (cos.f64 x) 3))) (fma.f64 (pow.f64 eps 4) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3 (/.f64 (*.f64 1/24 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 4))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) 1/6)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (fma.f64 (pow.f64 eps 4) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)) (*.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps))))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1)
(expm1.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(expm1.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))
(expm1.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))

eval556.0ms (2.5%)

Compiler

Compiled 53263 to 15997 computations (70% saved)

prune353.0ms (1.6%)

Pruning

80 alts after pruning (76 fresh and 4 done)

PrunedKeptTotal
New1473481521
Fresh102838
Picked011
Done336
Total1486801566
Error
0.0b
Counts
1566 → 80
Alt Table
Click to see full alt table
StatusErrorProgram
36.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.8b
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
16.7b
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
60.1b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
32.9b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
37.5b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
61.2b
(-.f64 (/.f64 x (cos.f64 eps)) x)
30.2b
(/.f64 1 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
28.7b
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
19.6b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (neg.f64 (tan.f64 x)))
16.8b
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 x)))))
19.6b
(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)))
12.1b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.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))))
35.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
59.1b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
12.2b
(+.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))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.5b
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
60.1b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
44.3b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
48.5b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
61.2b
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
18.6b
(+.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 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
16.8b
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))
32.9b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
19.7b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
21.2b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
20.6b
(-.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))
29.6b
(/.f64 1 (/.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
32.8b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
44.3b
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
26.8b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
60.2b
(*.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
37.3b
(-.f64 (tan.f64 eps) (tan.f64 x))
51.1b
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
50.3b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
19.7b
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
17.5b
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3))
32.2b
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)))))
16.8b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 eps)))
16.8b
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
22.3b
(+.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 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
12.1b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.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))))
50.3b
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
13.1b
(+.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 (pow.f64 (/.f64 1 (tan.f64 x)) -1) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
24.4b
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
59.0b
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
30.9b
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
36.8b
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
20.7b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
37.4b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
36.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
20.7b
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
20.1b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
28.4b
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
61.3b
0
18.6b
(+.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))))) (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (tan.f64 x) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))))
19.8b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
28.3b
(/.f64 (sin.f64 eps) (cos.f64 eps))
60.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
39.4b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
16.7b
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
16.9b
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 1 (sin.f64 eps)))))
36.8b
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
19.7b
(/.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)))
31.8b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (+.f64 eps (+.f64 x x))))))
29.6b
(/.f64 1 (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
54.6b
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
36.8b
(/.f64 1 (/.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)))) (sin.f64 (-.f64 (+.f64 eps x) x))))
59.6b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
48.3b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
53.8b
(-.f64 eps (tan.f64 x))
54.0b
(-.f64 eps x)
49.0b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
49.4b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
33.2b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps))))))
45.2b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
45.0b
(/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 2)))
44.6b
eps
17.5b
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 eps)))))
Compiler

Compiled 2865 to 1827 computations (36.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
0.2b
(*.f64 (sin.f64 eps) (sin.f64 x))
0.3b
(/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
7.7b
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
Compiler

Compiled 98 to 15 computations (84.7% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite102.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
764×fma-def_binary64
498×fma-neg_binary64
323×expm1-udef_binary64
323×log1p-udef_binary64
186×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
134863
2598163
Stop Event
node limit
Counts
4 → 153
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) (sin.f64 x))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (/.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (/.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps))) 2)) (cbrt.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (/.f64 1 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) 2))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 eps x)) 2) (/.f64 (cos.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 1))))))
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simplify74.0ms (0.3%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
644×associate-*r*_binary64
612×associate-*l*_binary64
286×*-commutative_binary64
272×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01722074
15092006
216661907
Stop Event
node limit
Counts
249 → 212
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
x
(+.f64 (*.f64 -2/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -4/315 (pow.f64 x 7)) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 4)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 (*.f64 -2/45 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 6)) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 4)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) eps)
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/720 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 1/120 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 -1/5040 (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 5)) (+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 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 -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 2/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.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)))) (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 1 (-.f64 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 3)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cos.f64 x) 5)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (sin.f64 x)) (cos.f64 x)))))))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
Outputs
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
x
(+.f64 (*.f64 -2/3 (pow.f64 x 3)) x)
(fma.f64 -2/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -2/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -4/315 (pow.f64 x 7)) (+.f64 (*.f64 -2/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -4/315 (pow.f64 x 7) (fma.f64 -2/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -2/3 (pow.f64 x 3) (fma.f64 -4/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 x x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 4)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 x x))) (fma.f64 1/3 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 x 4))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (fma.f64 1/3 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 x 4))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 x x)))
(-.f64 (fma.f64 1/3 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 x 4)) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 x x)))
(+.f64 (*.f64 -2/45 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 6)) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 2)) (sin.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 4)) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(fma.f64 -2/45 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 x 6)) (sin.f64 eps)) (fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 x x))) (fma.f64 1/3 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 x 4))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(fma.f64 -2/45 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 x 6)) (-.f64 (fma.f64 1/3 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 x 4))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 x x))))
(-.f64 (fma.f64 -2/45 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 x 6)) (fma.f64 1/3 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 x 4)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (pow.f64 (cos.f64 x) 2) eps)
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 -1/6 (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (*.f64 (pow.f64 (cos.f64 x) 2) 1/120))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/120 (*.f64 (pow.f64 (cos.f64 x) 2) 1/18))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/72) (*.f64 (pow.f64 (cos.f64 x) 2) -1/120)) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/720 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 1/120 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 -1/5040 (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 5)) (+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/720) (fma.f64 -1/6 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 -1/6 (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (*.f64 (pow.f64 (cos.f64 x) 2) 1/120))) (fma.f64 1/120 (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (*.f64 (pow.f64 (cos.f64 x) 2) -1/5040)))) (pow.f64 eps 5) (fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 -1/6 (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (*.f64 (pow.f64 (cos.f64 x) 2) 1/120))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/720) (fma.f64 -1/6 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/120 (*.f64 (pow.f64 (cos.f64 x) 2) 1/18))) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/5040 (*.f64 (pow.f64 (cos.f64 x) 2) -1/360)))) (pow.f64 eps 5) (fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (pow.f64 eps 3) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/24) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/120 (*.f64 (pow.f64 (cos.f64 x) 2) 1/18))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) -1/3) (fma.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/720) (fma.f64 -1/6 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/72) (*.f64 (pow.f64 (cos.f64 x) 2) -1/120)) (*.f64 (pow.f64 (cos.f64 x) 2) -1/336))) (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/72) (*.f64 (pow.f64 (cos.f64 x) 2) -1/120)) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
(/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))
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(+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (+.f64 (fma.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/3 (pow.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (neg.f64 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 2) -1/3))) (neg.f64 (/.f64 (-.f64 (/.f64 1/3 (pow.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4)))) (/.f64 (cos.f64 x) (sin.f64 x)))))))))
(+.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 3) (*.f64 eps eps))) (-.f64 (fma.f64 (pow.f64 eps 3) (+.f64 (/.f64 1/3 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))) (/.f64 eps (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 eps 4) (-.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 2) -1/3))) (*.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))) (cos.f64 x)) (sin.f64 x))))))
(-.f64 (fma.f64 (pow.f64 eps 3) (+.f64 (/.f64 1/3 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))) (fma.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 3) eps)) (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 5)) -1/3) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))) (cos.f64 x))))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x)))
0.2b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
0.3b
(pow.f64 (cos.f64 x) 2)
2.3b
(-.f64 (+.f64 eps x) x)
Compiler

Compiled 50 to 18 computations (64% saved)

series11.0ms (0.1%)

Counts
3 → 52
Calls

15 calls:

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

rewrite77.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
629×log-prod_binary64
435×fma-def_binary64
354×pow2_binary64
243×pow1/3_binary64
241×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01243
127634
2391328
Stop Event
node limit
Counts
3 → 106
Calls
Call 1
Inputs
(pow.f64 (cos.f64 x) 2)
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) (#(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 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.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 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 3) (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)) 1) 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 exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (cos.f64 x) -2)) (sin.f64 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (cos.f64 x) -2)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cos.f64 x) -2)) (sin.f64 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (cos.f64 x) -2)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps)))) (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -2) (/.f64 1 (/.f64 1 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 x)) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) -2) 1) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cos.f64 x) -2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (sin.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (cos.f64 x) -2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 eps)) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) 1) (/.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 eps))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (sqrt.f64 (sin.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (sin.f64 eps) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) 1))))))

simplify68.0ms (0.3%)

Algorithm
egg-herbie
Rules
582×fma-def_binary64
475×associate-*r*_binary64
474×associate-*l*_binary64
340×unsub-neg_binary64
304×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0104863
1314833
21127796
35634796
Stop Event
node limit
Counts
158 → 145
Calls
Call 1
Inputs
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)))))
(sin.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 1/3 (sin.f64 eps))) (pow.f64 x 4))) (sin.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1 (sin.f64 eps)) (+.f64 (*.f64 -2/45 (sin.f64 eps)) (*.f64 2/3 (sin.f64 eps)))))) (+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 1/3 (sin.f64 eps))) (pow.f64 x 4))) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 1 (sin.f64 eps))
(+.f64 (/.f64 1 (sin.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 x 2) (sin.f64 eps))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (/.f64 1 (sin.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (/.f64 1 (sin.f64 eps)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 -2/45 (/.f64 (pow.f64 x 6) (sin.f64 eps))))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) eps)
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/36 (pow.f64 (cos.f64 x) 2)) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 5) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (pow.f64 (cos.f64 x) 2)) (*.f64 1/120 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 1/720 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/5040 (pow.f64 (cos.f64 x) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/36 (pow.f64 (cos.f64 x) 2)) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
Outputs
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 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (*.f64 x x)) (*.f64 1/3 (pow.f64 x 4)))
(-.f64 (fma.f64 1/3 (pow.f64 x 4) 1) (*.f64 x x))
(+.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 1/3 (pow.f64 x 4)))))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 1/3 (pow.f64 x 4) (*.f64 -2/45 (pow.f64 x 6))))
(+.f64 1 (-.f64 (fma.f64 1/3 (pow.f64 x 4) (*.f64 -2/45 (pow.f64 x 6))) (*.f64 x x)))
(+.f64 (-.f64 (fma.f64 1/3 (pow.f64 x 4) 1) (*.f64 x x)) (*.f64 -2/45 (pow.f64 x 6)))
(sin.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (sin.f64 eps))
(fma.f64 (sin.f64 eps) (*.f64 x x) (sin.f64 eps))
(fma.f64 (*.f64 x x) (sin.f64 eps) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 1/3 (sin.f64 eps))) (pow.f64 x 4))) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 x x) (fma.f64 -1 (*.f64 (pow.f64 x 4) (*.f64 (sin.f64 eps) -2/3)) (sin.f64 eps)))
(fma.f64 (*.f64 x x) (sin.f64 eps) (-.f64 (sin.f64 eps) (*.f64 (pow.f64 x 4) (*.f64 (sin.f64 eps) -2/3))))
(fma.f64 (pow.f64 x 4) (*.f64 (sin.f64 eps) 2/3) (*.f64 (sin.f64 eps) (fma.f64 x x 1)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1 (sin.f64 eps)) (+.f64 (*.f64 -2/45 (sin.f64 eps)) (*.f64 2/3 (sin.f64 eps)))))) (+.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 eps)) (*.f64 1/3 (sin.f64 eps))) (pow.f64 x 4))) (sin.f64 eps))))
(fma.f64 -1 (*.f64 (pow.f64 x 6) (fma.f64 -1 (sin.f64 eps) (*.f64 (sin.f64 eps) 28/45))) (fma.f64 (sin.f64 eps) (*.f64 x x) (fma.f64 -1 (*.f64 (pow.f64 x 4) (*.f64 (sin.f64 eps) -2/3)) (sin.f64 eps))))
(-.f64 (fma.f64 (*.f64 x x) (sin.f64 eps) (-.f64 (sin.f64 eps) (*.f64 (pow.f64 x 4) (*.f64 (sin.f64 eps) -2/3)))) (*.f64 (pow.f64 x 6) (*.f64 (sin.f64 eps) -17/45)))
(fma.f64 (pow.f64 x 6) (*.f64 (sin.f64 eps) 17/45) (fma.f64 (pow.f64 x 4) (*.f64 (sin.f64 eps) 2/3) (*.f64 (sin.f64 eps) (fma.f64 x x 1))))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1/6 (pow.f64 eps 3)) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1/6 (pow.f64 eps 3)) (pow.f64 (cos.f64 x) 2))))
(fma.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(fma.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/5040 (/.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1/6 (pow.f64 eps 3)) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/5040 (/.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))
(fma.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/5040 (/.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 eps 7) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/6 (/.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/120 (/.f64 (pow.f64 eps 5) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (neg.f64 (*.f64 -1 eps))) (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(/.f64 1 (sin.f64 eps))
(+.f64 (/.f64 1 (sin.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 x 2) (sin.f64 eps))))
(+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (neg.f64 (*.f64 x x)) (sin.f64 eps)))
(-.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (*.f64 x x) (sin.f64 eps)))
(-.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (/.f64 x (sin.f64 eps)) x))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (/.f64 1 (sin.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 x 2) (sin.f64 eps)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps)) (+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (neg.f64 (*.f64 x x)) (sin.f64 eps))))
(-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 (*.f64 x x) (sin.f64 eps)))
(-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (*.f64 (/.f64 x (sin.f64 eps)) x))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (/.f64 1 (sin.f64 eps)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 -2/45 (/.f64 (pow.f64 x 6) (sin.f64 eps))))))
(fma.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps)) (+.f64 (/.f64 1 (sin.f64 eps)) (fma.f64 -1 (/.f64 (*.f64 x x) (sin.f64 eps)) (*.f64 -2/45 (/.f64 (pow.f64 x 6) (sin.f64 eps))))))
(+.f64 (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 (*.f64 x x) (sin.f64 eps))) (/.f64 (pow.f64 x 6) (/.f64 (sin.f64 eps) -2/45)))
(fma.f64 1/3 (/.f64 (pow.f64 x 4) (sin.f64 eps)) (-.f64 (fma.f64 -2/45 (/.f64 (pow.f64 x 6) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (*.f64 (/.f64 x (sin.f64 eps)) x)))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) eps)
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(fma.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) 2) 1/6) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/36 (pow.f64 (cos.f64 x) 2)) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(fma.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (cos.f64 x) 2) -7/360)) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(fma.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 -7/360 (pow.f64 eps 3)))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (*.f64 eps 1/6) (*.f64 (pow.f64 eps 3) -7/360))))
(+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 5) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (pow.f64 (cos.f64 x) 2)) (*.f64 1/120 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 1/720 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/5040 (pow.f64 (cos.f64 x) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/36 (pow.f64 (cos.f64 x) 2)) (*.f64 1/120 (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(fma.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (*.f64 (pow.f64 eps 5) (fma.f64 1/6 (*.f64 (pow.f64 (cos.f64 x) 2) -7/360) (*.f64 (pow.f64 (cos.f64 x) 2) 1/840))) (fma.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (cos.f64 x) 2) -7/360)) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(fma.f64 1/6 (*.f64 eps (pow.f64 (cos.f64 x) 2)) (-.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 -7/360 (pow.f64 eps 3)))) (*.f64 (pow.f64 eps 5) (fma.f64 (pow.f64 (cos.f64 x) 2) 1/840 (*.f64 (pow.f64 (cos.f64 x) 2) -7/2160)))))
(+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (*.f64 eps 1/6) (*.f64 (pow.f64 eps 3) -7/360))) (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (pow.f64 eps 5) (*.f64 (pow.f64 (cos.f64 x) 2) -31/15120))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (*.f64 eps 1/6) (*.f64 (pow.f64 eps 3) -7/360))) (*.f64 (pow.f64 eps 5) (*.f64 (pow.f64 (cos.f64 x) 2) -31/15120))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 (*.f64 -1 eps))))
(/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 eps)
0.2b
(/.f64 (sin.f64 x) (cos.f64 eps))
0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
1.0b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
Compiler

Compiled 31 to 8 computations (74.2% saved)

series6.0ms (0%)

Counts
2 → 16
Calls

12 calls:

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

rewrite92.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
569×log-prod_binary64
382×pow-prod-down_binary64
340×fma-def_binary64
297×pow2_binary64
205×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120421
2315321
Stop Event
node limit
Counts
2 → 192
Calls
Call 1
Inputs
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (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 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 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 (/.f64 (sin.f64 x) (cos.f64 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)) (/.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))) (sqrt.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))) (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (tan.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) -2) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 eps) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) (cos.f64 eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 eps) (sin.f64 x))) -1))))))

simplify65.0ms (0.3%)

Algorithm
egg-herbie
Rules
480×fma-def_binary64
464×associate--l+_binary64
429×distribute-rgt-in_binary64
395×distribute-lft-in_binary64
351×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088491
1260472
2893436
33926410
Stop Event
node limit
Counts
208 → 221
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (*.f64 -1 (*.f64 (+.f64 1/3 (*.f64 1/6 (/.f64 1 (cos.f64 eps)))) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (cos.f64 eps))) 2/15) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (*.f64 -1 (*.f64 (+.f64 1/3 (*.f64 1/6 (/.f64 1 (cos.f64 eps)))) (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (cos.f64 eps))) 2/15) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/3 (*.f64 1/6 (/.f64 1 (cos.f64 eps)))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 7) (+.f64 17/315 (*.f64 1/5040 (/.f64 1 (cos.f64 eps)))))))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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))))))))) (/.f64 (sin.f64 x) (cos.f64 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 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (*.f64 -1 (*.f64 (+.f64 1/3 (*.f64 1/6 (/.f64 1 (cos.f64 eps)))) (pow.f64 x 3))))
(fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (neg.f64 (*.f64 (+.f64 1/3 (/.f64 1/6 (cos.f64 eps))) (pow.f64 x 3))))
(fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (*.f64 (+.f64 1/3 (/.f64 1/6 (cos.f64 eps))) (neg.f64 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 3) (+.f64 -1/3 (/.f64 -1/6 (cos.f64 eps))) (*.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x))
(fma.f64 (pow.f64 x 3) (-.f64 -1/3 (/.f64 1/6 (cos.f64 eps))) (-.f64 (/.f64 x (cos.f64 eps)) x))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (cos.f64 eps))) 2/15) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (*.f64 -1 (*.f64 (+.f64 1/3 (*.f64 1/6 (/.f64 1 (cos.f64 eps)))) (pow.f64 x 3)))))
(fma.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5) (fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (neg.f64 (*.f64 (+.f64 1/3 (/.f64 1/6 (cos.f64 eps))) (pow.f64 x 3)))))
(fma.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5) (fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (*.f64 (+.f64 1/3 (/.f64 1/6 (cos.f64 eps))) (neg.f64 (pow.f64 x 3)))))
(fma.f64 (pow.f64 x 3) (+.f64 -1/3 (/.f64 -1/6 (cos.f64 eps))) (fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (*.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5))))
(fma.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5) (fma.f64 (pow.f64 x 3) (-.f64 -1/3 (/.f64 1/6 (cos.f64 eps))) (-.f64 (/.f64 x (cos.f64 eps)) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (cos.f64 eps))) 2/15) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/3 (*.f64 1/6 (/.f64 1 (cos.f64 eps)))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 7) (+.f64 17/315 (*.f64 1/5040 (/.f64 1 (cos.f64 eps)))))))))
(fma.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5) (fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (*.f64 -1 (+.f64 (*.f64 (+.f64 1/3 (/.f64 1/6 (cos.f64 eps))) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 17/315 (/.f64 1/5040 (cos.f64 eps))))))))
(fma.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5) (fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (neg.f64 (fma.f64 (+.f64 1/3 (/.f64 1/6 (cos.f64 eps))) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (+.f64 17/315 (/.f64 1/5040 (cos.f64 eps))))))))
(-.f64 (fma.f64 (pow.f64 x 3) (+.f64 -1/3 (/.f64 -1/6 (cos.f64 eps))) (fma.f64 (+.f64 (/.f64 1 (cos.f64 eps)) -1) x (*.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5)))) (*.f64 (pow.f64 x 7) (+.f64 17/315 (/.f64 1/5040 (cos.f64 eps)))))
(fma.f64 (+.f64 (/.f64 1/120 (cos.f64 eps)) -2/15) (pow.f64 x 5) (fma.f64 (pow.f64 x 3) (-.f64 -1/3 (/.f64 1/6 (cos.f64 eps))) (fma.f64 (pow.f64 x 7) (+.f64 -17/315 (/.f64 -1/5040 (cos.f64 eps))) (-.f64 (/.f64 x (cos.f64 eps)) x))))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (fma.f64 1/2 (*.f64 eps eps) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (*.f64 eps eps) 1) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (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 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.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)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (fma.f64 1/2 (*.f64 eps eps) 1) (sin.f64 x) (fma.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 5/24) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 x) (-.f64 (fma.f64 1/2 (*.f64 eps eps) 1) (*.f64 (pow.f64 eps 4) -5/24))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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))))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (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 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 5/24) (*.f64 (sin.f64 x) (fma.f64 1/2 (*.f64 eps eps) 1))) (*.f64 (pow.f64 eps 6) (*.f64 (sin.f64 x) -61/720))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (fma.f64 1/2 (*.f64 eps eps) 1) (*.f64 (pow.f64 eps 4) -5/24))) (-.f64 (*.f64 (pow.f64 eps 6) (*.f64 (sin.f64 x) 61/720)) (/.f64 (sin.f64 x) (cos.f64 x))))
(/.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))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (cos.f64 eps)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (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 (sin.f64 x) (fma.f64 1/2 (*.f64 eps eps) 1))
(+.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 (pow.f64 eps 4) (*.f64 (sin.f64 x) 5/24) (*.f64 (sin.f64 x) (fma.f64 1/2 (*.f64 eps eps) 1)))
(*.f64 (sin.f64 x) (-.f64 (fma.f64 1/2 (*.f64 eps eps) 1) (*.f64 (pow.f64 eps 4) -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 (pow.f64 eps 4) (*.f64 (sin.f64 x) 5/24) (*.f64 (sin.f64 x) (fma.f64 1/2 (*.f64 eps eps) 1))) (*.f64 (pow.f64 eps 6) (*.f64 (sin.f64 x) -61/720)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (fma.f64 1/2 (*.f64 eps eps) 1) (*.f64 (pow.f64 eps 4) -5/24))) (*.f64 (pow.f64 eps 6) (*.f64 (sin.f64 x) 61/720)))

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
1.4b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
1.6b
(-.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)

series20.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(expm1.f64 (-.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
x
@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))

rewrite263.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
685×log-prod_binary64
517×fma-def_binary64
266×fma-neg_binary64
253×expm1-udef_binary64
252×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01380
127580
2402980
Stop Event
node limit
Counts
3 → 274
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))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.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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simplify145.0ms (0.7%)

Algorithm
egg-herbie
Rules
627×times-frac_binary64
602×distribute-rgt-in_binary64
579×distribute-lft-in_binary64
396×associate-/l*_binary64
338×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01836135
16425930
224145632
Stop Event
node limit
Counts
346 → 189
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)))))
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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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(-.f64 (+.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))) 1)
(-.f64 (+.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 -1 (+.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))))) 1)
(-.f64 (+.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 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (+.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 (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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 -1 (+.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)))))) 1)
(-.f64 (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)))) 1)
(-.f64 (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)))) 1)
(-.f64 (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)))) 1)
(-.f64 (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)))) 1)
(-.f64 (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 (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 (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 (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 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 (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 (*.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 1/3 (*.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)))))) (pow.f64 eps 3)) (+.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 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (*.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)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (+.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 (pow.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)))) 2)) (+.f64 (*.f64 (-.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (+.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 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.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 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))))))) (+.f64 (*.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 1/3 (*.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)))))) (pow.f64 eps 3)) (+.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 (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 (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 (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 (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 (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 (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 (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 (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)
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 -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 x x) (*.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 (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 -1/3 (/.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)) (fma.f64 -1 (/.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 x x) (*.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 (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)) (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)))
(fma.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)) (pow.f64 x 3) (+.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))))))
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(+.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 (sin.f64 eps) (*.f64 (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) (cos.f64 eps)) (-.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 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (+.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))) 1)
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) 1))
(+.f64 (*.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)) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (+.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 -1 (+.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))))) 1)
(+.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 (cos.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (neg.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))))))) 1))
(+.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (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))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 -1 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(-.f64 (+.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 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (+.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 (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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 -1 (+.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)))))) 1)
(+.f64 (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)) (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 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (neg.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))))))))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (neg.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))))))))) -1)
(+.f64 -1 (+.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (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))) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) x))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)) (-.f64 (/.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)))))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(+.f64 -1 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 (*.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))) 1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 1/2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))))) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(-.f64 (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)))) 1)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)))) 1)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)))) 1)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)))) 1)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (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 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))
(+.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)))))
(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)))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.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 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 (+.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)))
(+.f64 (*.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 1/3 (*.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)))))) (pow.f64 eps 3)) (+.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))))))
(fma.f64 (-.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 1/3 (neg.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (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 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 eps 3) (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))))))
(fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 (*.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3)) (-.f64 (-.f64 (*.f64 -1/3 (/.f64 (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)))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.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 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))))
(fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 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))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (*.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)))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (+.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 (pow.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)))) 2)) (+.f64 (*.f64 (-.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (+.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 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.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 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))))))) (+.f64 (*.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 1/3 (*.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)))))) (pow.f64 eps 3)) (+.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)))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (fma.f64 1/24 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (fma.f64 1/2 (pow.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (fma.f64 (-.f64 1/3 (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 -1/3 (/.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)))) (neg.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (fma.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 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))))))))) (fma.f64 (-.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 1/3 (neg.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (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 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 eps 3) (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)))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 1/3 (-.f64 (-.f64 (*.f64 -1/3 (/.f64 (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 (fma.f64 -1/3 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 4)) (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3) (cos.f64 x)) (sin.f64 x)))))) (fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 (*.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1/3)) (-.f64 (-.f64 (*.f64 -1/3 (/.f64 (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)))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.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 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.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 (*.f64 (/.f64 1/3 (cos.f64 x)) (sin.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (fma.f64 -1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (-.f64 (*.f64 -1/3 (/.f64 (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))) -1/3)))))))) (fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 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)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))
(-.f64 (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)
(expm1.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)))))
(expm1.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(expm1.f64 (+.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 (/.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 (sin.f64 x) (cos.f64 x)))))

eval779.0ms (3.6%)

Compiler

Compiled 25765 to 10105 computations (60.8% saved)

prune567.0ms (2.6%)

Pruning

93 alts after pruning (89 fresh and 4 done)

PrunedKeptTotal
New963441007
Fresh264571
Picked101
Done448
Total994931087
Error
0.0b
Counts
1087 → 93
Alt Table
Click to see full alt table
StatusErrorProgram
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
54.0b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (sqrt.f64 (*.f64 eps eps)))))
36.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
48.6b
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))
36.8b
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
0.5b
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
32.9b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
37.5b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
0.5b
(/.f64 1 (-.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
51.4b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
17.2b
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))))
30.2b
(/.f64 1 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
48.6b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3))
51.6b
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -2))
0.5b
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
19.6b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (neg.f64 (tan.f64 x)))
19.6b
(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)))
12.1b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.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))))
35.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
59.1b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
12.2b
(+.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))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3))
18.6b
(+.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 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
48.3b
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) 2)
16.8b
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
24.4b
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) x))
32.2b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (expm1.f64 (log1p.f64 eps)))))
48.5b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
32.9b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
0.5b
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 x) (sin.f64 x))))
30.1b
(log1p.f64 (-.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 1))
32.8b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
59.6b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))
19.7b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
20.6b
(-.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))
44.3b
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
26.8b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
51.1b
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
19.7b
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
17.5b
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3))
46.0b
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
37.3b
(-.f64 (tan.f64 eps) (tan.f64 x))
60.3b
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) 2))
30.2b
(/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps))))
16.8b
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
12.1b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.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))))
50.3b
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
13.1b
(+.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 (pow.f64 (/.f64 1 (tan.f64 x)) -1) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
30.1b
(/.f64 1 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
28.7b
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
30.7b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 3)
30.1b
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
42.0b
(/.f64 1 (/.f64 1 (sin.f64 eps)))
42.0b
(sin.f64 eps)
59.0b
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
30.9b
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
45.2b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
36.8b
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
20.7b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
37.4b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
20.7b
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
61.2b
(-.f64 (/.f64 x (cos.f64 eps)) x)
36.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
59.6b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))
30.1b
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
61.3b
0
28.3b
(/.f64 (sin.f64 eps) (cos.f64 eps))
28.4b
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
61.2b
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
39.4b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
16.7b
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
52.0b
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))))
36.8b
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
59.9b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
31.2b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
51.0b
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
36.8b
(/.f64 1 (/.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)))) (sin.f64 (-.f64 (+.f64 eps x) x))))
48.6b
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
48.3b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
53.8b
(-.f64 eps (tan.f64 x))
54.0b
(-.f64 eps x)
50.3b
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
49.0b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
49.4b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
33.2b
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps))))))
39.5b
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) 1)
32.9b
(/.f64 eps (pow.f64 (cos.f64 x) 2))
30.3b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))
16.7b
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
44.6b
eps
59.2b
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
30.1b
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
19.8b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 1468 to 988 computations (32.7% saved)

regimes863.0ms (4%)

Counts
166 → 1
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
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(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.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) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3))
(-.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 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) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (pow.f64 (/.f64 1 (tan.f64 x)) -1) (-.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) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) (-.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) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (tan.f64 x) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))))
Outputs
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
Calls

4 calls:

357.0ms
x
193.0ms
eps
115.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
85.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
0.5b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2485 to 912 computations (63.3% saved)

regimes701.0ms (3.2%)

Counts
147 → 1
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
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(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
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(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 eps)))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
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(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
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(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
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(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.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 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
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(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
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(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
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(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
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(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
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(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
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(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(log1p.f64 (-.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))) 1)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (exp.f64 (log.f64 (*.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 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Outputs
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
Calls

4 calls:

178.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
144.0ms
x
135.0ms
eps
106.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
0.5b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1811 to 695 computations (61.6% saved)

regimes450.0ms (2.1%)

Counts
130 → 1
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 eps)))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.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 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)))) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (+.f64 eps (+.f64 x x))))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps))))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (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))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(-.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 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (sqrt.f64 (*.f64 eps eps)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) x))
(*.f64 eps (-.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 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 3)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (expm1.f64 (log1p.f64 eps)))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 2)))
(-.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 (*.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))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 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 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
Outputs
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
Calls

4 calls:

196.0ms
eps
79.0ms
x
60.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
59.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
0.5b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1468 to 574 computations (60.9% saved)

regimes2.1s (9.5%)

Counts
129 → 3
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 eps)))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.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 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)))) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (+.f64 eps (+.f64 x x))))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps))))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (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))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(-.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 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (sqrt.f64 (*.f64 eps eps)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) x))
(*.f64 eps (-.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 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 3)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (expm1.f64 (log1p.f64 eps)))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 2)))
(-.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 (*.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))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 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 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
Calls

4 calls:

1.3s
x
371.0ms
eps
224.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
182.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.4b9x
0.3b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1450 to 567 computations (60.9% saved)

bsearch115.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
1.1799764769038227e-18
5.9810684627538646e-5
56.0ms
-0.0018077685951439057
-5.265817605856111e-16
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.2s (5.6%)

Counts
127 → 3
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 eps)))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.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 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)))) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (+.f64 eps (+.f64 x x))))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps))))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (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))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(-.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 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (sqrt.f64 (*.f64 eps eps)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) x))
(*.f64 eps (-.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 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 3)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (expm1.f64 (log1p.f64 eps)))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 2)))
(-.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 (*.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))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))
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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
Calls

4 calls:

700.0ms
x
219.0ms
eps
130.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
126.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.4b9x
0.3b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1417 to 555 computations (60.8% saved)

bsearch109.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
56.0ms
1.1799764769038227e-18
5.9810684627538646e-5
52.0ms
-0.0018077685951439057
-5.265817605856111e-16
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.0s (4.7%)

Counts
124 → 3
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 eps)))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.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 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)))) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (+.f64 eps (+.f64 x x))))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps))))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (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))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(-.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 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (sqrt.f64 (*.f64 eps eps)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) x))
(*.f64 eps (-.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 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 3)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (expm1.f64 (log1p.f64 eps)))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 2)))
(-.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 (*.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))
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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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:

515.0ms
x
248.0ms
eps
115.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
104.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.4b9x
0.3b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1369 to 535 computations (60.9% saved)

bsearch105.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
52.0ms
1.1799764769038227e-18
5.9810684627538646e-5
52.0ms
-0.0018077685951439057
-5.265817605856111e-16
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes346.0ms (1.6%)

Counts
121 → 1
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 eps)))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 eps (*.f64 eps -1/2) 1)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.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 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 eps)))) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 (*.f64 (+.f64 eps (+.f64 x x)) eps) (+.f64 eps (+.f64 x x))))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (/.f64 1 (/.f64 (+.f64 eps (+.f64 x x)) (*.f64 (+.f64 eps (+.f64 x x)) eps))))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (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))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(-.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 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (sqrt.f64 (*.f64 eps eps)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) x))
(*.f64 eps (-.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 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (+.f64 x (*.f64 (/.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) 3))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps)) -2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2))) 3)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (expm1.f64 (log1p.f64 eps)))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x)) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2))) (tan.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 eps) 2))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (sqrt.f64 eps) 2))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (pow.f64 (cbrt.f64 eps) 3))))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x))) 3))
(/.f64 1 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (cbrt.f64 (pow.f64 eps 3)))))
(/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)) 2)))
Outputs
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

138.0ms
eps
92.0ms
x
41.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
38.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
16.7b1x
16.7b1eps
16.7b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.7b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1319 to 520 computations (60.6% saved)

regimes170.0ms (0.8%)

Counts
38 → 3
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
(/.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (sin.f64 eps)))))
Outputs
(-.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

4 calls:

52.0ms
eps
49.0ms
x
31.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
28.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
16.8b3x
16.3b3eps
16.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 300 to 134 computations (55.3% saved)

bsearch104.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
54.0ms
1.1799764769038227e-18
5.9810684627538646e-5
49.0ms
-22.76615002971735
-0.01587428569448531
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes156.0ms (0.7%)

Counts
28 → 3
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 eps) (fma.f64 x x 1))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 1 (-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x x)) 1) 2) (sin.f64 (-.f64 (+.f64 eps x) x))))
Outputs
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

4 calls:

55.0ms
x
45.0ms
eps
25.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
23.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
18.2b3x
16.3b3eps
17.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 211 to 102 computations (51.7% saved)

bsearch109.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
55.0ms
1.1799764769038227e-18
5.9810684627538646e-5
53.0ms
-22.76615002971735
-0.01587428569448531
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes23.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps 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))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

2 calls:

10.0ms
eps
9.0ms
x
Results
ErrorSegmentsBranch
28.3b1x
28.3b1eps
Compiler

Compiled 98 to 48 computations (51% saved)

regimes18.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
(sin.f64 eps)
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(-.f64 (/.f64 x (cos.f64 eps)) x)
(-.f64 (/.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(*.f64 (-.f64 (/.f64 1 (cos.f64 eps)) 1) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
Outputs
(sin.f64 eps)
Calls

2 calls:

8.0ms
eps
7.0ms
x
Results
ErrorSegmentsBranch
42.0b1x
42.0b1eps
Compiler

Compiled 78 to 45 computations (42.3% saved)

regimes8.0ms (0%)

Accuracy

Total -17.7b remaining (-39.7%)

Threshold costs -17.7b (-39.7%)

Counts
3 → 1
Calls
Call 1
Inputs
eps
0
(-.f64 eps x)
Outputs
eps
Calls

2 calls:

4.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
44.6b1x
44.6b1eps
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify25.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
070464
1106464
2138464
3158464
4169464
5173464
6174464
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.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 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -6408101549405991/281474976710656) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -6408101549405991/281474976710656) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
Outputs
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 (*.f64 (cos.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.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 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.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 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -8336861154777271/4611686018427387904) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 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 -8336861154777271/4611686018427387904) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(if (<=.f64 eps -6408101549405991/281474976710656) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (*.f64 (pow.f64 (cos.f64 x) -2) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -6408101549405991/281474976710656) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) -2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -6408101549405991/281474976710656) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 765848519271589/649037107316853453566312041152512) (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
Compiler

Compiled 317 to 190 computations (40.1% saved)

soundness52.0ms (0.2%)

Algorithm
egg-herbie
Rules
678×distribute-rgt-in_binary64
658×distribute-lft-in_binary64
580×times-frac_binary64
394×associate-/l*_binary64
293×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01812946
15732793
220972524
Stop Event
node limit
Compiler

Compiled 99 to 79 computations (20.2% saved)

end110.0ms (0.5%)

Compiler

Compiled 295 to 126 computations (57.3% saved)

Profiling

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