Details

Time bar (total: 19.6s)

analyze737.0ms (3.8%)

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

Compiled 10 to 7 computations (30% saved)

sample4.0s (20.4%)

Results
1.8s3617×body1024valid
1.4s1265×body2048valid
506.0ms1458×body512valid
295.0ms1914×body256valid
6.0msbody4096valid

preprocess25.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (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
39.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series13.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite79.0ms (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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simplify59.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

eval71.0ms (0.4%)

Compiler

Compiled 4539 to 1832 computations (59.6% saved)

prune73.0ms (0.4%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New15536191
Fresh000
Picked011
Done000
Total15537192
Error
0.1b
Counts
192 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
51.6b
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
46.1b
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
49.1b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
22.6b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
44.3b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
45.8b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
50.0b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
32.2b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
39.6b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
41.9b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
22.5b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
22.6b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
32.2b
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
46.0b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
46.2b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
39.7b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
39.5b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
61.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
39.3b
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
45.9b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
39.3b
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
39.3b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
22.8b
(+.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))))
32.6b
(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)))))
39.4b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
48.5b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
32.8b
(fma.f64 (pow.f64 x 3) (neg.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)))) (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)))))
49.1b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
39.3b
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
32.5b
(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))))
41.7b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
50.4b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
45.9b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
51.1b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
44.3b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 1373 to 932 computations (32.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
0.2b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
2.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 55 to 16 computations (70.9% saved)

series24.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
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))
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
@0
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite111.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01153
125353
2382253
Stop Event
node limit
Counts
4 → 248
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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(sqrt.f64 (tan.f64 eps)) 1)))))

simplify84.0ms (0.4%)

Algorithm
egg-herbie
Rules
738×fma-def_binary64
627×associate-*r*_binary64
603×associate-*l*_binary64
502×times-frac_binary64
425×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01873367
16023309
219433219
Stop Event
node limit
Counts
344 → 314
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 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 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (*.f64 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.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 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (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 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 1 (neg.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x)))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (*.f64 -2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (fma.f64 -1/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (pow.f64 eps 5) (/.f64 (cos.f64 x) (sin.f64 x))) -2/15))))
(+.f64 (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (pow.f64 eps 5) (cos.f64 x)) (sin.f64 x)) -2/15)))
(-.f64 (+.f64 1 (fma.f64 -1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (*.f64 (/.f64 (pow.f64 eps 5) (cos.f64 x)) (*.f64 (sin.f64 x) -2/15)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (/.f64 (cos.f64 eps) (sin.f64 x)))))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
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)

series3.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite98.0ms (0.5%)

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
0811
117711
2252311
Stop Event
node limit
Counts
2 → 181
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
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 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 log1p.f64 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))))
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eps) 2))) (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 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.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 fma.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.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 fma.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) 2) (cbrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (tan.f64 x) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (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 (tan.f64 x)) (tan.f64 eps))))))

simplify144.0ms (0.7%)

Algorithm
egg-herbie
Rules
809×fma-neg_binary64
659×distribute-rgt-neg-in_binary64
603×fma-def_binary64
537×distribute-lft-neg-in_binary64
505×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049476
1127466
2288462
3793460
41671460
54225460
67471460
Stop Event
node limit
Counts
209 → 204
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)))
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))))
(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 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7)))))
(+.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 eps (fma.f64 1/3 (pow.f64 eps 3) (-.f64 (*.f64 2/15 (pow.f64 eps 5)) (/.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 (fma.f64 -2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (/.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)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(exp.f64 (tan.f64 (+.f64 x eps)))
3.6b
(tan.f64 (+.f64 x eps))
3.8b
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
7.7b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series13.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
2.0ms
x
@0
(exp.f64 (tan.f64 (+.f64 x eps)))
1.0ms
eps
@0
(exp.f64 (tan.f64 (+.f64 x eps)))
1.0ms
eps
@0
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
1.0ms
x
@0
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))

rewrite83.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
119125
2280325
Stop Event
node limit
Counts
3 → 183
Calls
Call 1
Inputs
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (tan.f64 (+.f64 x eps)))
Outputs
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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) 1) (cbrt.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))))) (cbrt.f64 (sqrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (cbrt.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 3 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (tan.f64 (+.f64 x eps)))))))))

simplify79.0ms (0.4%)

Algorithm
egg-herbie
Rules
962×fma-def_binary64
721×distribute-rgt-in_binary64
701×distribute-lft-in_binary64
201×associate-/l*_binary64
180×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01743054
15472867
219352606
Stop Event
node limit
Counts
255 → 234
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 (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))))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3))) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
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 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 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))) (+.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 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.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 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (neg.f64 (+.f64 1/2 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (/.f64 1/6 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.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))))))) (pow.f64 x 3) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2)) (neg.f64 (pow.f64 x 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -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))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (-.f64 (*.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 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))))) eps))))
(+.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 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (fma.f64 -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))))))))))))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 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 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 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 eps x)) (cos.f64 (+.f64 eps x)))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
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(*.f64 (+.f64 (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (fma.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) 1)))
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(fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1 (+.f64 1/6 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.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)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (+.f64 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))))) (*.f64 x (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
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(*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (pow.f64 x 3) (fma.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (cos.f64 eps)) (sin.f64 eps) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 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))))))) (+.f64 x (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 x (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) 1)))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 (+.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
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(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(fma.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (+.f64 (*.f64 eps (+.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))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/2)))) eps))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3))) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(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 (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)))) 2))) (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))))))))))) (*.f64 (pow.f64 eps 3) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -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 (pow.f64 eps 3) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 eps (+.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))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/2)))) eps))) (*.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))))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
0.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
1.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series147.0ms (0.7%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
92.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
31.0ms
eps
@0
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
9.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
3.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)

rewrite82.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
883×prod-diff_binary64
488×log-prod_binary64
376×fma-def_binary64
293×pow2_binary64
199×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
123624
2310324
Stop Event
node limit
Counts
2 → 148
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))))

simplify94.0ms (0.5%)

Algorithm
egg-herbie
Rules
919×fma-def_binary64
530×associate-+l+_binary64
522×associate-+r+_binary64
432×times-frac_binary64
405×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842967
16182841
222262611
Stop Event
node limit
Counts
188 → 172
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.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)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) (+.f64 (*.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)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9))))) (+.f64 (*.f64 -2/9 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.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 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.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 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 10)) (pow.f64 (cos.f64 eps) 10)) 1/9) (+.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.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 1/2 (+.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 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.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)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) 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 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) 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 (/.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 1/2 (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.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)) 1/3) (*.f64 (+.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
Outputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x))
(fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 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 -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)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) 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))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 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 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1/3 (*.f64 1 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (fma.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) 2/9))) (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -2/3 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))))))) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) 2/9 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) -1/3))) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (+.f64 (*.f64 -1/3 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 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 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 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(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 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 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))))))))))))) (pow.f64 x 3) (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))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 1 (-.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 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 1 (-.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 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 1 (-.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)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) x)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) 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 (/.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 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))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) 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 (/.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 1/2 (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.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)) 1/3) (*.f64 (+.f64 (*.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 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))))
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 x 3) (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 1/2 (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 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 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 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))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(+.f64 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (+.f64 (*.f64 (+.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (-.f64 (*.f64 (/.f64 1/6 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (*.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 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2)) (pow.f64 x 3)) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 x x)))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 (fma.f64 -2/3 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (*.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 0 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)))) (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18))) (*.f64 (sin.f64 eps) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)))))) (fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)
(cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(exp.f64 (neg.f64 (tan.f64 x)))
0.4b
(exp.f64 (tan.f64 (+.f64 x eps)))
3.6b
(tan.f64 (+.f64 x eps))
9.2b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
Compiler

Compiled 46 to 10 computations (78.3% saved)

series225.0ms (1.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
118.0ms
x
@inf
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
52.0ms
eps
@inf
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
26.0ms
x
@-inf
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
20.0ms
eps
@-inf
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
4.0ms
x
@0
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))

rewrite67.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
675×prod-diff_binary64
526×log-prod_binary64
291×pow2_binary64
275×fma-def_binary64
202×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01120
123216
2315716
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (neg.f64 (tan.f64 x)))
Outputs
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(pow.f64 (exp.f64 -1) (sqrt.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (sin.f64 x)) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) -1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (neg.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (*.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (*.f64 -1 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) 1) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) -1) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (tan.f64 x)))) (sqrt.f64 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (tan.f64 x))) 1) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (tan.f64 x))))))))

simplify72.0ms (0.4%)

Algorithm
egg-herbie
Rules
984×fma-def_binary64
671×distribute-rgt-in_binary64
658×distribute-lft-in_binary64
250×times-frac_binary64
246×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01742247
15601900
221291718
Stop Event
node limit
Counts
164 → 156
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) (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 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (+.f64 (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 3) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))) (*.f64 6 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (exp.f64 (/.f64 (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)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (exp.f64 (neg.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 (log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (exp.f64 (neg.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 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))))))))
(+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (exp.f64 (neg.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 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (*.f64 -6 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(fma.f64 1/2 (*.f64 (-.f64 (/.f64 (*.f64 2 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (sin.f64 eps))))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1)) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 (/.f64 2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.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 (pow.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1)) 2) (exp.f64 (*.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.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 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (+.f64 (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.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 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) 3) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))) (*.f64 6 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (exp.f64 (/.f64 (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)))))
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(fma.f64 (fma.f64 2 (pow.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1))) 3) (fma.f64 6 (/.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 -1/2 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (fma.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (cos.f64 eps)) (sin.f64 eps) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (+.f64 (neg.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -6 (*.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (exp.f64 (*.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (+.f64 1 (/.f64 (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 1/2 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.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 (pow.f64 x 3) 1/6) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 (/.f64 2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.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 (pow.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1)) 2) (exp.f64 (*.f64 2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.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)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
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(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))))
0
(+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (exp.f64 (neg.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))))))
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(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0)
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
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(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0) (*.f64 (-.f64 (*.f64 2 (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)))))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (*.f64 1/2 (*.f64 eps eps))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 0)) (*.f64 1/2 (*.f64 eps eps))))
(+.f64 (log.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (exp.f64 (neg.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 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (*.f64 -6 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.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)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (*.f64 2 (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (fma.f64 6 (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))))))))))) (*.f64 -6 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 0) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 2 (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)))))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (*.f64 (fma.f64 2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (fma.f64 6 (-.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 -6 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (*.f64 1/6 (pow.f64 eps 3)))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 0))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (fma.f64 -6 (*.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 (sin.f64 x) (cos.f64 x)) (+.f64 1/2 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) 3) (*.f64 6 (-.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))) 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 1/6 (pow.f64 eps 3)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))) (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))))
(log.f64 (exp.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (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)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(exp.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(exp.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))

eval1.5s (7.4%)

Compiler

Compiled 37827 to 15738 computations (58.4% saved)

prune484.0ms (2.5%)

Pruning

48 alts after pruning (46 fresh and 2 done)

PrunedKeptTotal
New1399451444
Fresh30131
Picked101
Done325
Total1433481481
Error
0.1b
Counts
1481 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
48.8b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
27.8b
(/.f64 (sin.f64 eps) (cos.f64 eps))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
23.2b
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
29.2b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
32.2b
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
22.6b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
32.5b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.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)))) eps))))
49.1b
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
40.0b
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
22.5b
(fma.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
39.2b
(-.f64 (tan.f64 eps) (tan.f64 x))
50.4b
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
61.3b
0
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
32.5b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))
40.4b
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
28.4b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
55.5b
(-.f64 eps (tan.f64 x))
45.2b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
22.5b
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x)))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
32.2b
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
46.1b
(log.f64 (*.f64 (+.f64 0 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
22.6b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
41.7b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
48.5b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
29.1b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
49.2b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
41.1b
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.1b
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
45.6b
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
41.9b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
59.4b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
37.7b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
40.1b
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
32.2b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
37.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
40.0b
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 (+.f64 x eps)))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
45.3b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
25.0b
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x)))
22.5b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
32.9b
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
Compiler

Compiled 1624 to 1045 computations (35.7% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
0.2b
(+.f64 (tan.f64 x) (tan.f64 eps))
2.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
3.9b
(-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)
Compiler

Compiled 73 to 33 computations (54.8% saved)

series15.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)
1.0ms
x
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
1.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
1.0ms
eps
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
1.0ms
x
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))

rewrite118.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
687×log-prod_binary64
574×fma-def_binary64
314×fma-neg_binary64
264×log1p-udef_binary64
263×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251
128549
2438243
Stop Event
node limit
Counts
3 → 213
Calls
Call 1
Inputs
(-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(fma.f64 (tan.f64 x) (tan.f64 eps) 1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (*.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))))))

simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
557×associate-*r*_binary64
555×fma-def_binary64
520×associate-*l*_binary64
474×times-frac_binary64
385×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01622937
15232857
216882759
Stop Event
node limit
Counts
285 → 265
Calls
Call 1
Inputs
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (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 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))))
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
1
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (+.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 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
Outputs
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+.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)))
(fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps))))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))
(+.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))))
(fma.f64 2/15 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 5))) (fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(fma.f64 2/15 (/.f64 (pow.f64 x 5) (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps))))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x (*.f64 (/.f64 2/15 (cos.f64 eps)) (*.f64 (sin.f64 eps) (pow.f64 x 5)))))
(+.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)))))
(fma.f64 2/15 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 5))) (fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (fma.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps)) (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(fma.f64 2/15 (/.f64 (pow.f64 x 5) (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (fma.f64 17/315 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 7)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)))))
(fma.f64 2/15 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 5)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 17/315 (*.f64 (/.f64 (pow.f64 x 7) (cos.f64 eps)) (sin.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (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 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (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 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (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 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.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 (/.f64 eps (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)
(+.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)))
(fma.f64 1/3 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps))
(+.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))))
(fma.f64 1/3 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (fma.f64 2/15 (/.f64 (pow.f64 eps 5) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (fma.f64 2/15 (/.f64 (pow.f64 eps 5) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (fma.f64 2/15 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 5)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)))
(+.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)))))
(fma.f64 1/3 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (fma.f64 2/15 (/.f64 (pow.f64 eps 5) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 17/315 (/.f64 (pow.f64 eps 7) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (fma.f64 2/15 (/.f64 (pow.f64 eps 5) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 17/315 (*.f64 (/.f64 (pow.f64 eps 7) (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (fma.f64 2/15 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 5)) (fma.f64 17/315 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 7)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (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) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
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(+.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)) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 1)) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 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 (/.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)) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 1)) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
1
(+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x 1)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))))
(fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (+.f64 (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps))) 1))
(+.f64 (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) 1))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x 1))
(+.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 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))))
(fma.f64 2/15 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 5))) (fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (+.f64 (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps))) 1)))
(fma.f64 2/15 (/.f64 (pow.f64 x 5) (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) 1)))
(fma.f64 2/15 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 5)) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x 1)))
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
1
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 1)
(+.f64 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) 1)
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) 1)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(fma.f64 1/3 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 1))
(+.f64 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) 1))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) 1))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 1 (+.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)))))
(fma.f64 1/3 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (+.f64 (fma.f64 2/15 (/.f64 (pow.f64 eps 5) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 1))
(+.f64 (fma.f64 2/15 (/.f64 (pow.f64 eps 5) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) 1))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 3)) (fma.f64 2/15 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 5)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) 1)))
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1)

localize7.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
0.2b
(log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
0.2b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
3.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series178.0ms (0.9%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
97.0ms
eps
@-inf
(log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
27.0ms
eps
@inf
(log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
23.0ms
x
@-inf
(log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
20.0ms
x
@inf
(log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
2.0ms
x
@0
(log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))

rewrite81.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
449×log-prod_binary64
357×fma-def_binary64
344×exp-prod_binary64
325×pow-prod-down_binary64
269×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
118935
2282635
Stop Event
node limit
Counts
3 → 168
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))
Outputs
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simplify90.0ms (0.5%)

Algorithm
egg-herbie
Rules
895×times-frac_binary64
639×fma-def_binary64
565×associate-/l*_binary64
555×distribute-rgt-in_binary64
540×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01753463
15713315
221123094
Stop Event
node limit
Counts
240 → 140
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 2 (*.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 (-.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 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 2 (*.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 2 (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 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 2 (*.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 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))
(+.f64 (fma.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (fma.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 -1 (/.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 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)) (+.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 (-.f64 2 (*.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 1/6 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (pow.f64 x 3) (+.f64 (fma.f64 (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
(fma.f64 (-.f64 1/6 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) -1/2 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)))))) (pow.f64 x 3) (+.f64 (fma.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1))))))
(fma.f64 (-.f64 1/6 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (-.f64 -1/2 (/.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 (+.f64 x (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (fma.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 2 (/.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 2 (/.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 2 (cos.f64 x)) (sin.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 2 (/.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 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 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)))))))
(fma.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)))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 2 (cos.f64 x)) (sin.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 (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 2 (/.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 (*.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 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 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))))))) (*.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (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)) (neg.f64 (pow.f64 eps 3))))
(-.f64 (fma.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)))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x)))) (*.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 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) x))
(+.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 (/.f64 2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))))))
(fma.f64 x (+.f64 (/.f64 2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 x (/.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (cos.f64 eps) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)) (*.f64 2 (*.f64 (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))))) (+.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 (/.f64 2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))))))))
(fma.f64 1/2 (*.f64 x (*.f64 x (-.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (cos.f64 eps)))) (/.f64 (pow.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))))) (fma.f64 x (+.f64 (/.f64 2 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 x (/.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (fma.f64 (*.f64 x x) (*.f64 1/2 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(fma.f64 (*.f64 x x) (*.f64 1/2 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (fma.f64 x (/.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (fma.f64 (fma.f64 2 (pow.f64 (/.f64 (+.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) 3) (fma.f64 -6 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 2 (/.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)) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))) (*.f64 (/.f64 6 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (-.f64 1/6 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (-.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 (pow.f64 x 3) 1/6) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
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(log1p.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
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(log1p.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
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(log1p.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
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(log1p.f64 (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))))
(log1p.f64 (*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x)))
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(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 2 (cos.f64 x)) (sin.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 2 (/.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 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 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)))))))
(fma.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)))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 2 (cos.f64 x)) (sin.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 (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 2 (/.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 (*.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 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 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))))))) (*.f64 (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (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)) (neg.f64 (pow.f64 eps 3))))
(-.f64 (fma.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)))) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x)))) (*.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 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 67 to 42 computations (37.3% saved)

series13.0ms (0.1%)

Counts
4 → 16
Calls

15 calls:

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

rewrite76.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
665×prod-diff_binary64
575×log-prod_binary64
311×pow2_binary64
217×pow1/3_binary64
213×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01446
129240
2354230
Stop Event
node limit
Counts
4 → 148
Calls
Call 1
Inputs
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
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egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (tan.f64 x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (tan.f64 x)) (hypot.f64 1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 3) 2)) (/.f64 1 (pow.f64 (hypot.f64 (hypot.f64 1 (pow.f64 (tan.f64 x) 2)) (tan.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 x) 2) 2)) (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) -1)))))

simplify73.0ms (0.4%)

Algorithm
egg-herbie
Rules
797×distribute-lft-out_binary64
791×fma-neg_binary64
383×sub-neg_binary64
356×*-commutative_binary64
314×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057226
1148220
2383212
31236209
42283209
54646209
67327209
Stop Event
node limit
Counts
164 → 176
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/3 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 -1/3 (pow.f64 x 4) (*.f64 2/45 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (fma.f64 -1/315 (pow.f64 x 8) (*.f64 x x))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 x (neg.f64 x))))
(fma.f64 (pow.f64 x 4) 1/3 (-.f64 1 (*.f64 x x)))
(-.f64 1 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))
(-.f64 1 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))))
(fma.f64 x (fma.f64 1/3 (pow.f64 x 3) (neg.f64 x)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)))
(+.f64 1 (fma.f64 (pow.f64 x 6) -2/45 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 x (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (fma.f64 x x -1))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 (*.f64 x x) eps eps)
(*.f64 eps (fma.f64 x x 1))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (*.f64 2/3 (*.f64 (pow.f64 x 4) eps)))
(fma.f64 (*.f64 x x) eps (fma.f64 2/3 (*.f64 (pow.f64 x 4) eps) eps))
(+.f64 eps (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))))
(*.f64 eps (+.f64 (*.f64 (pow.f64 x 4) 2/3) (fma.f64 x x 1)))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (fma.f64 2/3 (*.f64 (pow.f64 x 4) eps) (*.f64 17/45 (*.f64 (pow.f64 x 6) eps))))
(+.f64 (fma.f64 (*.f64 x x) eps eps) (fma.f64 2/3 (*.f64 (pow.f64 x 4) eps) (*.f64 (pow.f64 x 6) (*.f64 eps 17/45))))
(fma.f64 (fma.f64 x x 1) eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45))))
(+.f64 eps (*.f64 eps (fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 6) 17/45 (fma.f64 (pow.f64 x 8) 62/315 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (fma.f64 (pow.f64 x 8) 62/315 (*.f64 (pow.f64 x 6) 17/45))))

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.4b
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
0.5b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
2.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 92 to 29 computations (68.5% saved)

series56.0ms (0.3%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
28.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
5.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
4.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
4.0ms
eps
@inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
4.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)

rewrite146.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
716×log-prod_binary64
535×fma-def_binary64
267×expm1-udef_binary64
266×log1p-udef_binary64
261×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
132054
2430554
Stop Event
node limit
Counts
2 → 175
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 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) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.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)))) (cbrt.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)))))) (log.f64 (cbrt.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.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))))) (log.f64 (sqrt.f64 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simplify114.0ms (0.6%)

Algorithm
egg-herbie
Rules
966×fma-def_binary64
660×times-frac_binary64
445×associate-+r+_binary64
440×*-commutative_binary64
437×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01714431
15974289
222674002
Stop Event
node limit
Counts
215 → 197
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))
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(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
(pow.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))) 1/3)
Outputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x))
(fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x) (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))))) (pow.f64 x 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x (*.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (+.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18))))))) (*.f64 x x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.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 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18))))))) (*.f64 x x) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x)))
(fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (+.f64 (*.f64 1/9 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (*.f64 (-.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (+.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))))))) (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.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 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))))))))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.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 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))))))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 10)) (pow.f64 (cos.f64 eps) 10)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.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 3)) (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x (fma.f64 (+.f64 (*.f64 -1/3 (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)) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))))))))) (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))) (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)) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))))))))) (*.f64 -2/9 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18))))) (fma.f64 1/3 (*.f64 (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (*.f64 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) -2/9)))) (pow.f64 x 3) (*.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (+.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18))))))) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.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 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18))))))) (*.f64 x x) (*.f64 (fma.f64 -1/3 (+.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (-.f64 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18)))) (/.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 (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 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (-.f64 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18)))) (/.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))) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (*.f64 -2/9 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18)) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18)))) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18)) -2/9))))) (pow.f64 x 3)))))
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(*.f64 (pow.f64 1 1/3) (-.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 1 (+.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)))))
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(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.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))) 1/3)
(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))

eval960.0ms (4.9%)

Compiler

Compiled 33135 to 14746 computations (55.5% saved)

prune239.0ms (1.2%)

Pruning

62 alts after pruning (57 fresh and 5 done)

PrunedKeptTotal
New1048361084
Fresh202141
Picked011
Done246
Total1070621132
Error
0.0b
Counts
1132 → 62
Alt Table
Click to see full alt table
StatusErrorProgram
29.1b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
48.8b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
22.9b
(-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
27.8b
(/.f64 (sin.f64 eps) (cos.f64 eps))
40.0b
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
22.6b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
29.2b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
32.5b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.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)))) eps))))
39.2b
(-.f64 (tan.f64 eps) (tan.f64 x))
61.2b
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))) 1)
32.2b
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
49.1b
(expm1.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
40.4b
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
32.4b
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))))
61.3b
0
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
32.5b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))
44.6b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
22.5b
(fma.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
47.1b
(pow.f64 (*.f64 (sqrt.f64 eps) (hypot.f64 1 (tan.f64 x))) 2)
55.5b
(-.f64 eps (tan.f64 x))
49.1b
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
32.8b
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 3)
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) 1))) (tan.f64 x))
47.6b
(*.f64 eps (fma.f64 x x 1))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
40.1b
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
22.6b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
56.8b
(pow.f64 (pow.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3) 1/3)
46.4b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
37.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
23.3b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3)) 3)
23.2b
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
22.5b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
32.2b
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
44.6b
eps
28.1b
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))) 3)
46.4b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
41.9b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
41.7b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
48.5b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
32.2b
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
49.2b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
28.4b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
41.1b
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.1b
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
45.6b
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
33.8b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
59.4b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
23.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))) 3)
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
37.7b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
50.4b
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
29.7b
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))))) 3)
32.2b
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))
23.1b
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
45.3b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
60.9b
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 1991 to 1322 computations (33.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))
0.1b
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)
0.2b
(+.f64 (tan.f64 x) (tan.f64 eps))
2.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
Compiler

Compiled 53 to 16 computations (69.8% saved)

series16.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite108.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01158
124552
2366152
Stop Event
node limit
Counts
3 → 181
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))
Outputs
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simplify137.0ms (0.7%)

Algorithm
egg-herbie
Rules
665×fma-def_binary64
525×associate-/l*_binary64
469×associate-/r*_binary64
309×associate-*l/_binary64
277×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01823566
16073419
220523273
Stop Event
node limit
Counts
253 → 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 -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 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) (fma.f64 -1 (*.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))) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 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 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 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 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 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 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (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 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 x) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 x))) (/.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x))))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.8b
(*.f64 eps (fma.f64 x x 1))
Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite43.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
494×pow1_binary64
471×add-sqr-sqrt_binary64
466×*-un-lft-identity_binary64
451×add-log-exp_binary64
451×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11118
212268
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 x x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 x x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 x x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 x x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x x 1))))))))

simplify164.0ms (0.8%)

Algorithm
egg-herbie
Rules
2020×unswap-sqr_binary64
1080×sqr-pow_binary64
641×fabs-mul_binary64
612×pow-sqr_binary64
612×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011225
126183
240183
385183
4188183
5502183
6715183
71136183
81256183
91389183
101561183
111802183
122117183
132489183
142946183
153533183
164241183
175103183
185531183
195845183
206153183
216229183
226265183
Stop Event
node limit
Counts
37 → 20
Calls
Call 1
Inputs
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
Outputs
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
0.3b
(pow.f64 (tan.f64 eps) 2)
13.3b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
(pow.f64 (tan.f64 eps) 2)
1.0ms
eps
@inf
(pow.f64 (tan.f64 eps) 2)
0.0ms
eps
@0
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
0.0ms
eps
@0
(pow.f64 (tan.f64 eps) 2)
0.0ms
eps
@0
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))

rewrite67.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
909×pow1_binary64
844×add-log-exp_binary64
843×log1p-expm1-u_binary64
843×expm1-log1p-u_binary64
825×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
119917
2229817
Stop Event
node limit
Counts
3 → 80
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (tan.f64 eps) 2)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 eps)) 1)))) (#(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 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(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 (tan.f64 eps) 1)))) (#(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 (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 fabs.f64 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 exp.f64 (log.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 tan.f64 eps)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 4)) (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 (pow.f64 (tan.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 eps) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))))))
((#(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)) (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)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))))

simplify54.0ms (0.3%)

Algorithm
egg-herbie
Rules
860×fma-def_binary64
667×associate-*l*_binary64
643×distribute-rgt-out_binary64
555×times-frac_binary64
528×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072716
1181700
2427696
31283694
44906694
Stop Event
node limit
Counts
128 → 111
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 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (*.f64 17/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (+.f64 (*.f64 17/45 (pow.f64 eps 6)) (*.f64 62/315 (pow.f64 eps 8)))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(*.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)))
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 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2/3 (pow.f64 eps 4)))
(+.f64 (*.f64 eps eps) (*.f64 2/3 (pow.f64 eps 4)))
(fma.f64 eps eps (*.f64 2/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (*.f64 17/45 (pow.f64 eps 6))))
(+.f64 (*.f64 eps eps) (fma.f64 2/3 (pow.f64 eps 4) (*.f64 17/45 (pow.f64 eps 6))))
(fma.f64 eps eps (fma.f64 2/3 (pow.f64 eps 4) (*.f64 17/45 (pow.f64 eps 6))))
(fma.f64 2/3 (pow.f64 eps 4) (fma.f64 17/45 (pow.f64 eps 6) (*.f64 eps eps)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (+.f64 (*.f64 17/45 (pow.f64 eps 6)) (*.f64 62/315 (pow.f64 eps 8)))))
(+.f64 (*.f64 eps eps) (fma.f64 2/3 (pow.f64 eps 4) (fma.f64 17/45 (pow.f64 eps 6) (*.f64 62/315 (pow.f64 eps 8)))))
(fma.f64 eps eps (fma.f64 2/3 (pow.f64 eps 4) (fma.f64 62/315 (pow.f64 eps 8) (*.f64 17/45 (pow.f64 eps 6)))))
(fma.f64 eps eps (fma.f64 2/3 (pow.f64 eps 4) (fma.f64 17/45 (pow.f64 eps 6) (*.f64 62/315 (pow.f64 eps 8)))))
(fma.f64 2/3 (pow.f64 eps 4) (fma.f64 62/315 (pow.f64 eps 8) (fma.f64 17/45 (pow.f64 eps 6) (*.f64 eps eps))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(*.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)))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))
0.2b
(pow.f64 (cos.f64 x) 2)
0.3b
(pow.f64 (sin.f64 x) 2)
4.0b
(*.f64 (pow.f64 (sin.f64 x) 2) eps)
Compiler

Compiled 47 to 25 computations (46.8% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite78.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
504×log-prod_binary64
387×exp-prod_binary64
338×prod-exp_binary64
301×pow-prod-down_binary64
255×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
121025
2257625
Stop Event
node limit
Counts
2 → 93
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sin.f64 x) 2) eps)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 (sin.f64 x))) (*.f64 (log.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) (*.f64 (log.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 eps) 1) (*.f64 2 (log.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 eps) (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 eps) 1) (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 4)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 4)) (*.f64 (cbrt.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 4)) (cos.f64 x)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (/.f64 eps (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 1) (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 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((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 6) (pow.f64 (cos.f64 x) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x))))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)))))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 6) (pow.f64 (cos.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) (log.f64 (/.f64 (pow.f64 (cos.f64 x) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) 1) (*.f64 2 (log.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) 1) (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) 1) (*.f64 -2 (log.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 (cos.f64 x))) (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2)))))))

simplify82.0ms (0.4%)

Algorithm
egg-herbie
Rules
365×fma-neg_binary64
358×times-frac_binary64
355×distribute-rgt-in_binary64
321×distribute-lft-in_binary64
316×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056752
1155726
2458696
32299687
Stop Event
node limit
Counts
141 → 110
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6)))))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 -1/315 (*.f64 eps (pow.f64 x 8))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6))))))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (*.f64 x x)))
(*.f64 eps (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 x x)))
(*.f64 eps (*.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6)))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 eps (*.f64 x x) (*.f64 2/45 (*.f64 eps (pow.f64 x 6)))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 2/45 (*.f64 eps (pow.f64 x 6)) (*.f64 eps (*.f64 x x))))
(fma.f64 eps (*.f64 2/45 (pow.f64 x 6)) (*.f64 eps (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 x x))))
(*.f64 eps (+.f64 (*.f64 x x) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6)))))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 -1/315 (*.f64 eps (pow.f64 x 8))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6))))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 -1/315 (*.f64 eps (pow.f64 x 8)) (fma.f64 eps (*.f64 x x) (*.f64 2/45 (*.f64 eps (pow.f64 x 6))))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 -1/315 (*.f64 eps (pow.f64 x 8)) (fma.f64 2/45 (*.f64 eps (pow.f64 x 6)) (*.f64 eps (*.f64 x x)))))
(fma.f64 eps (*.f64 -1/315 (pow.f64 x 8)) (fma.f64 eps (*.f64 2/45 (pow.f64 x 6)) (*.f64 eps (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 x x)))))
(*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (*.f64 2/45 (pow.f64 x 6)))))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))
(fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 2/3 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3))))
(fma.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 2/3 (pow.f64 x 4)))))
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (pow.f64 x 4) (*.f64 eps 2/3)))))
(fma.f64 (pow.f64 x 8) (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (fma.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 2/3 (pow.f64 x 4))))))
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (fma.f64 (pow.f64 x 8) (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3)))))
(fma.f64 (pow.f64 x 6) (*.f64 eps 17/45) (fma.f64 (pow.f64 x 8) (*.f64 eps 62/315) (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.3b
(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
2.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
4.3b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
Compiler

Compiled 90 to 27 computations (70% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite119.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
127554
2401954
Stop Event
node limit
Counts
2 → 150
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
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simplify171.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

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

eval617.0ms (3.1%)

Compiler

Compiled 25879 to 10758 computations (58.4% saved)

prune353.0ms (1.8%)

Pruning

66 alts after pruning (58 fresh and 8 done)

PrunedKeptTotal
New95313966
Fresh74552
Picked011
Done279
Total962661028
Error
0.0b
Counts
1028 → 66
Alt Table
Click to see full alt table
StatusErrorProgram
47.6b
(+.f64 (*.f64 (*.f64 x x) eps) eps)
29.1b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
22.9b
(-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
27.8b
(/.f64 (sin.f64 eps) (cos.f64 eps))
40.0b
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
48.3b
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
22.6b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
29.2b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
32.5b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.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)))) eps))))
39.2b
(-.f64 (tan.f64 eps) (tan.f64 x))
61.2b
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))) 1)
32.2b
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
49.1b
(expm1.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
40.4b
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
32.4b
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))))
61.3b
0
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
44.6b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
22.5b
(fma.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
61.9b
(*.f64 x (*.f64 eps x))
32.4b
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps)))
55.5b
(-.f64 eps (tan.f64 x))
49.1b
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
32.2b
(+.f64 eps (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) eps) (pow.f64 (cos.f64 x) 2)))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
32.8b
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 3)
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) 1))) (tan.f64 x))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
40.1b
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
22.6b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
62.0b
(*.f64 eps (pow.f64 x 2))
56.8b
(pow.f64 (pow.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3) 1/3)
22.6b
(*.f64 3 (*.f64 1/3 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
46.4b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
37.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
23.3b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3)) 3)
23.2b
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
22.5b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
52.9b
(-.f64 (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) 1)) (tan.f64 x))
32.2b
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
41.9b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
41.7b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
48.5b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
32.2b
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
46.4b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
32.5b
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
44.6b
eps
47.8b
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
28.4b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
41.1b
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.1b
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
45.6b
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
29.1b
(neg.f64 (log.f64 (/.f64 (exp.f64 (tan.f64 x)) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))))))
33.8b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
59.4b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
37.7b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
50.4b
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
49.2b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
32.2b
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))
23.1b
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
45.3b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
60.9b
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 1082 to 713 computations (34.1% saved)

regimes1.4s (7.2%)

Counts
131 → 3
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) eps) (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(expm1.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(pow.f64 (*.f64 (sqrt.f64 eps) (hypot.f64 1 (tan.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (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 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 3)
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 (+.f64 x eps)))
(-.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 (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) 1)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))) 1)
(pow.f64 (pow.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3) 1/3)
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.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 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 0 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
(-.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 (*.f64 x (sin.f64 eps)) (cos.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 (*.f64 x (sin.f64 eps)) (cos.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 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(*.f64 3 (*.f64 1/3 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(neg.f64 (log.f64 (/.f64 (exp.f64 (tan.f64 x)) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))) 3)
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.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)))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))))) 3)
(-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(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 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x)))
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.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)))) eps))))
(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)))))
(fma.f64 (pow.f64 x 3) (neg.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)))) (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)))))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.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)))) eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
Calls

4 calls:

480.0ms
x
313.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
300.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
236.0ms
eps
Results
ErrorSegmentsBranch
12.0b6x
0.2b3eps
6.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2045 to 840 computations (58.9% saved)

bsearch117.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
57.0ms
2.310955200143845e-8
1.095763449558419e-6
58.0ms
-134103312.44048123
-5.075916396569445e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes881.0ms (4.5%)

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

4 calls:

397.0ms
x
220.0ms
eps
114.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
100.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.5b6x
0.2b3eps
6.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1836 to 723 computations (60.6% saved)

bsearch97.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
2.310955200143845e-8
1.095763449558419e-6
47.0ms
-134103312.44048123
-5.075916396569445e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes804.0ms (4.1%)

Counts
119 → 3
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) eps) (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(expm1.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(pow.f64 (*.f64 (sqrt.f64 eps) (hypot.f64 1 (tan.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (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 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 3)
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 (+.f64 x eps)))
(-.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 (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) 1)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))) 1)
(pow.f64 (pow.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3) 1/3)
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.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 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 0 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
(-.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 (*.f64 x (sin.f64 eps)) (cos.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 (*.f64 x (sin.f64 eps)) (cos.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 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(*.f64 3 (*.f64 1/3 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 (/.f64 1 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(neg.f64 (log.f64 (/.f64 (exp.f64 (tan.f64 x)) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1))))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))) 3)
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.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)))
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 3)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (cbrt.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x)))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
Calls

4 calls:

383.0ms
x
178.0ms
eps
102.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
102.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.7b7x
0.3b3eps
6.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1552 to 606 computations (61% saved)

bsearch97.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
2.310955200143845e-8
1.095763449558419e-6
48.0ms
-134103312.44048123
-5.075916396569445e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes760.0ms (3.9%)

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

4 calls:

351.0ms
x
222.0ms
eps
77.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
76.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.9b7x
0.5b3eps
6.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1372 to 542 computations (60.5% saved)

bsearch106.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
57.0ms
8.940129377468463e-20
1.6600800361682743e-19
48.0ms
-5.075916396569445e-8
-2.5710244531599902e-11
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes603.0ms (3.1%)

Counts
95 → 3
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) eps) (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(expm1.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(pow.f64 (*.f64 (sqrt.f64 eps) (hypot.f64 1 (tan.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (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 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 3)
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 (+.f64 x eps)))
(-.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 (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) 1)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))) 1)
(pow.f64 (pow.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3) 1/3)
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.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 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 0 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
(-.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 (*.f64 x (sin.f64 eps)) (cos.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 (*.f64 x (sin.f64 eps)) (cos.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 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))
Calls

4 calls:

296.0ms
x
118.0ms
eps
87.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
75.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.9b7x
0.5b3eps
6.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1047 to 429 computations (59% saved)

bsearch96.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
8.940129377468463e-20
1.6600800361682743e-19
47.0ms
-5.075916396569445e-8
-2.5710244531599902e-11
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes599.0ms (3.1%)

Counts
89 → 3
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) eps) (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(expm1.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(pow.f64 (*.f64 (sqrt.f64 eps) (hypot.f64 1 (tan.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (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 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 3)
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 (+.f64 x eps)))
(-.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 (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) 1)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))) 1)
(pow.f64 (pow.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3) 1/3)
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.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 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 0 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
(-.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 (*.f64 x (sin.f64 eps)) (cos.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 (*.f64 x (sin.f64 eps)) (cos.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 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) 1))) (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 (pow.f64 (tan.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:

292.0ms
x
138.0ms
eps
73.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
72.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.9b7x
0.5b3eps
6.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 942 to 393 computations (58.3% saved)

bsearch97.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
8.940129377468463e-20
1.6600800361682743e-19
47.0ms
-5.075916396569445e-8
-2.5710244531599902e-11
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes332.0ms (1.7%)

Counts
83 → 3
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 (pow.f64 (tan.f64 x) 2)) -1))))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))) eps) (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(expm1.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(pow.f64 (*.f64 (sqrt.f64 eps) (hypot.f64 1 (tan.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) 2))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (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 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))) 3)
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (tan.f64 (+.f64 x eps)))
(-.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 (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) 1)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)))) 1)
(pow.f64 (pow.f64 (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) 3) 1/3)
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (tan.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 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 0 (exp.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (exp.f64 (tan.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))
Calls

4 calls:

100.0ms
x
100.0ms
eps
56.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
54.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
18.0b3x
15.3b3eps
16.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 834 to 358 computations (57.1% saved)

bsearch94.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
2.310955200143845e-8
1.095763449558419e-6
47.0ms
-134103312.44048123
-5.075916396569445e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes102.0ms (0.5%)

Counts
23 → 3
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(*.f64 eps (-.f64 1 (*.f64 -1 (pow.f64 (tan.f64 x) 2))))
(*.f64 3 (*.f64 1/3 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(log.f64 (*.f64 1 (exp.f64 (tan.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

4 calls:

30.0ms
eps
30.0ms
x
18.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
18.0b3x
15.4b3eps
16.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 172 to 80 computations (53.5% saved)

bsearch94.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
2.310955200143845e-8
1.095763449558419e-6
47.0ms
-134103312.44048123
-5.075916396569445e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(*.f64 (/.f64 2 (cos.f64 x)) (sin.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

4 calls:

9.0ms
eps
8.0ms
x
5.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
27.8b1x
27.8b1eps
27.8b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
27.8b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 113 to 55 computations (51.3% saved)

regimes14.0ms (0.1%)

Accuracy

Total -18.3b remaining (-41.1%)

Threshold costs -18.3b (-41.1%)

Counts
9 → 1
Calls
Call 1
Inputs
eps
eps
0
(*.f64 x (*.f64 eps x))
(+.f64 (*.f64 (*.f64 x x) eps) eps)
(-.f64 eps (tan.f64 x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) 2/3))))
Outputs
eps
Calls

2 calls:

6.0ms
eps
6.0ms
x
Results
ErrorSegmentsBranch
44.6b1x
44.6b1eps
Compiler

Compiled 51 to 27 computations (47.1% saved)

simplify33.0ms (0.2%)

Algorithm
egg-herbie
Rules
27×+-commutative_binary64
22×sub-neg_binary64
19×*-commutative_binary64
13×neg-sub0_binary64
13×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084716
1123716
2156716
3189716
4220716
5240716
6247716
7248716
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -575969341217136832/4294967296) (-.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 1746108380891617/75557863725914323419136) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.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)))) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -575969341217136832/4294967296) (-.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 1746108380891617/75557863725914323419136) (fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -575969341217136832/4294967296) (-.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 1746108380891617/75557863725914323419136) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.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 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.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 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 (pow.f64 (tan.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 -575969341217136832/4294967296) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x)) (if (<=.f64 eps 1746108380891617/75557863725914323419136) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))))
(if (<=.f64 eps -575969341217136832/4294967296) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1746108380891617/75557863725914323419136) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
eps
Outputs
(if (<=.f64 eps -575969341217136832/4294967296) (-.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 1746108380891617/75557863725914323419136) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 (-.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)))) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.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 1746108380891617/75557863725914323419136) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 eps (-.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (+.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1))) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.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 1746108380891617/75557863725914323419136) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 eps (+.f64 1/3 (+.f64 (/.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)) 4/3))))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (+.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1))) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.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 1746108380891617/75557863725914323419136) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (*.f64 eps (+.f64 1/3 (+.f64 (/.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)) 4/3))))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (-.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (tan.f64 x))))
(if (<=.f64 eps -575969341217136832/4294967296) (-.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 1746108380891617/75557863725914323419136) (fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.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 1746108380891617/75557863725914323419136) (fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1))) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.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 1746108380891617/75557863725914323419136) (fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (tan.f64 x))))
(if (<=.f64 eps -575969341217136832/4294967296) (-.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 1746108380891617/75557863725914323419136) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) eps))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.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 1746108380891617/75557863725914323419136) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (+.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1))) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.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 1746108380891617/75557863725914323419136) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (-.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.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 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.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 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (+.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1))) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.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 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (-.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.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 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) 1)) (tan.f64 x))))
(if (<=.f64 eps -1917626996880641/37778931862957161709568) (-.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 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (-.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 -1917626996880641/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 (pow.f64 (tan.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 -1917626996880641/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1856792227260977/20769187434139310514121985316880384) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -575969341217136832/4294967296) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x)) (if (<=.f64 eps 1746108380891617/75557863725914323419136) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (tan.f64 x))))
(if (<=.f64 eps -8999520956517763/67108864) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 1746108380891617/75557863725914323419136) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -575969341217136832/4294967296) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1746108380891617/75557863725914323419136) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -8999520956517763/67108864) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1746108380891617/75557863725914323419136) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
eps
Compiler

Compiled 475 to 251 computations (47.2% saved)

soundness107.0ms (0.5%)

Algorithm
egg-herbie
Rules
738×fma-def_binary64
627×associate-*r*_binary64
603×associate-*l*_binary64
502×times-frac_binary64
425×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01873367
16023309
219433219
Stop Event
node limit
Compiler

Compiled 2422 to 1594 computations (34.2% saved)

end152.0ms (0.8%)

Compiler

Compiled 457 to 200 computations (56.2% saved)

Profiling

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