Details

Time bar (total: 30.4s)

analyze1.0s (3.4%)

Algorithm
1×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)

sample5.3s (17.5%)

Results
2.4s3618×body1024valid
2.0s1254×body2048valid
556.0ms1421×body512valid
389.0ms1958×body256valid
8.0ms5×body4096valid

preprocess38.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11722
22522
33822
45322
58122
614122
719922
828422
935522
1040722
1141122
022
Stop Event
1×saturated
1×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%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
35.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.8b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓3.0b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series14.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms
x
@0
(tan.f64 (+.f64 x eps))
1.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
eps
@0
(tan.f64 (+.f64 x eps))

rewrite117.0ms (0.4%)

Algorithm
1×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
1×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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simplify127.0ms (0.4%)

Algorithm
1×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
1×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)))

eval70.0ms (0.2%)

Compiler

Compiled 4539 to 1832 computations (59.6% saved)

prune119.0ms (0.4%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New15635191
Fresh000
Picked011
Done000
Total15636192
Error
0.2b
Counts
192 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(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))))
40.5b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
46.8b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
35.7b
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
▶36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
22.6b
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
29.4b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
49.7b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
48.0b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
29.4b
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
61.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
36.1b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
44.7b
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
▶38.6b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
22.4b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.5b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
35.9b
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
45.1b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
47.8b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
22.4b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
48.0b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
▶44.8b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
29.9b
(-.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))))))))
▶36.1b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
29.9b
(+.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)))))))))))))
▶22.2b
(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)))
47.2b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
48.3b
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
36.5b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
29.8b
(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)))))
36.0b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
22.3b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
38.6b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
44.7b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1867 to 1262 computations (32.4% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
✓0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓3.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Compiler

Compiled 56 to 19 computations (66.1% saved)

series41.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
6.0ms
eps
@inf
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
4.0ms
eps
@-inf
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
4.0ms
eps
@0
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
3.0ms
x
@-inf
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))

rewrite114.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

simplify194.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01773434
15493418
217423336
Stop Event
1×node limit
Counts
261 → 231
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 x (+.f64 (*.f64 2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
1
(+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 1 (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
1
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 x (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/3) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) -1/3)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))) (pow.f64 x 3) (fma.f64 x (*.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
1
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) 1)
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 1 (+.f64 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (fma.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) eps)) (pow.f64 (sin.f64 x) 2) 1))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 1) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (+.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))) (fma.f64 (neg.f64 (pow.f64 eps 3)) (fma.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (fma.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) eps)) (pow.f64 (sin.f64 x) 2) 1)))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))

localize16.0ms (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
eps
@0
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms
x
@0
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms
eps
@inf
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms
eps
@-inf
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

rewrite136.0ms (0.4%)

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

simplify81.0ms (0.3%)

Algorithm
1×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
1×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)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log1p.f64 (tan.f64 (+.f64 x eps)))
✓0.2b
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
3.0b
(tan.f64 (+.f64 x eps))
✓5.9b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series252.0ms (0.8%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
111.0ms
eps
@-inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
84.0ms
x
@inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
20.0ms
eps
@inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
20.0ms
x
@-inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
9.0ms
x
@0
(log1p.f64 (tan.f64 (+.f64 x eps)))

rewrite118.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
932×prod-diff_binary64
457×log-prod_binary64
359×fma-def_binary64
272×pow2_binary64
192×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118925
2282925
Stop Event
1×node limit
Counts
3 → 173
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (tan.f64 (+.f64 x eps)))
Outputs
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simplify116.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
896×fma-def_binary64
827×distribute-rgt-in_binary64
814×distribute-lft-in_binary64
609×associate-/l*_binary64
156×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02083319
16893141
225062879
Stop Event
1×node limit
Counts
245 → 227
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))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (/.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) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.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 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.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) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.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 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.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 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))) (+.f64 (*.f64 -6 (/.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 1/6 (+.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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -6 (/.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)) (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))))) (pow.f64 x 3))) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3))) (*.f64 -6 (/.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)) (*.f64 (cos.f64 x) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(log.f64 (+.f64 1 (/.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 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(fma.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.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 x x) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (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 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) (fma.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) (fma.f64 (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))))) (/.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))
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(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 (*.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))))
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(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 (sin.f64 x) (cos.f64 x))))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 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)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (/.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) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 (/.f64 1 (+.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))))) x (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 x (+.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (pow.f64 (cos.f64 eps) 2))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(fma.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (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 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))))) (fma.f64 (-.f64 (/.f64 1 (+.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))))) x (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 2 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (fma.f64 x (+.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (pow.f64 (cos.f64 eps) 2))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 2 (*.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (/.f64 (pow.f64 (+.f64 1 (/.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 1 (/.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 1 (*.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 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.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 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))) (+.f64 (*.f64 -6 (/.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 1/6 (+.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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 -6 (/.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)) (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)))))) (pow.f64 x 3))) (log.f64 (+.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (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 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))))) (fma.f64 (-.f64 (/.f64 1 (+.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))))) x (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 3)) (*.f64 -6 (+.f64 (/.f64 (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 1/6 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (*.f64 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))))))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 2 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)))) (fma.f64 x (+.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -6 (+.f64 (/.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))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (/.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 3))))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(fma.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 2 (*.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)))) (/.f64 (pow.f64 (+.f64 1 (/.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 (pow.f64 x 3) (*.f64 1/6 (fma.f64 -6 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (*.f64 2 (pow.f64 (/.f64 (+.f64 1 (/.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 x (/.f64 (+.f64 1 (/.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))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (/.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) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3))) (*.f64 -6 (/.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)) (*.f64 (cos.f64 x) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -6 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3)) (*.f64 -6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -6 (/.f64 (+.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 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3)) (*.f64 -6 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 1 (/.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) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3) (*.f64 -6 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (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))))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(log1p.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(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)
1.8b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series134.0ms (0.4%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
84.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
26.0ms
eps
@0
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
7.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
5.0ms
eps
@inf
(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)

rewrite94.0ms (0.3%)

Algorithm
1×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
1×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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 -1 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change 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simplify92.0ms (0.3%)

Algorithm
1×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
1×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)))
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(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))))
(+.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))))
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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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(fma.f64 x (*.f64 x (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)))) (fma.f64 (fma.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 -2/9 (*.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 1/3 (*.f64 (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))))))) (*.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 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.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 -2/9 (*.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)))) (*.f64 (+.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 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) -1/3))))) (pow.f64 x 3) (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)))))
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(*.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 (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 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)))
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(*.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 (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 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 (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))))
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(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))))

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(+.f64 1 (expm1.f64 (tan.f64 x)))
✓0.4b
(exp.f64 (tan.f64 (+.f64 x eps)))
3.0b
(tan.f64 (+.f64 x eps))
✓7.7b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
Compiler

Compiled 50 to 17 computations (66% saved)

series217.0ms (0.7%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
112.0ms
eps
@-inf
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
32.0ms
eps
@inf
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
31.0ms
x
@-inf
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
25.0ms
x
@inf
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
7.0ms
eps
@0
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))

rewrite109.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
803×prod-diff_binary64
608×log-prod_binary64
363×fma-def_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01234
125824
2357824
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(exp.f64 (tan.f64 (+.f64 x eps)))
(+.f64 1 (expm1.f64 (tan.f64 x)))
Outputs
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(expm1.f64 (tan.f64 x)) 1) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 x)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (tan.f64 x)))) 0)))))

simplify139.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
02344375
17903971
231283556
378673512
Stop Event
1×node limit
Counts
200 → 183
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -6 (/.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (+.f64 (*.f64 6 (/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (*.f64 1/2 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 3) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 2) (pow.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 2 (/.f64 (-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/2 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (*.f64 -6 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)) (+.f64 (*.f64 24 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (+.f64 (*.f64 -24 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (*.f64 -12 (pow.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) 2)) (*.f64 24 (+.f64 (*.f64 1/24 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (*.f64 2 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (*.f64 6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) (*.f64 -6 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3))) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
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(*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (pow.f64 x 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1 (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)))))
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(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 (+.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
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(*.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) 1) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
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(fma.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (neg.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 eps 3)) (fma.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))) (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (*.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 eps 3)) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (+.f64 (*.f64 1/6 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/3) (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))))))) (pow.f64 eps 3)) (*.f64 eps (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2))) (cos.f64 x)))))))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(exp.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(exp.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (/.f64 (sin.f64 x) (cos.f64 x)))

eval2.7s (9%)

Compiler

Compiled 36260 to 16006 computations (55.9% saved)

prune756.0ms (2.5%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New1284401324
Fresh28230
Picked101
Done235
Total1315451360
Error
0.1b
Counts
1360 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
59.8b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
22.9b
(pow.f64 (cbrt.f64 (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)))) 3)
29.9b
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 eps eps))) (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))))))))
26.5b
(/.f64 (sin.f64 eps) (cos.f64 eps))
46.1b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
✓36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
29.9b
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
44.7b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
22.2b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
30.0b
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
31.9b
(fma.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))) (exp.f64 (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
48.0b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
22.6b
(+.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
29.8b
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
▶29.0b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
40.7b
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
23.0b
(pow.f64 (cbrt.f64 (/.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)))) 3)
29.7b
(fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
35.9b
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
29.4b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
23.4b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
25.7b
(fma.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
22.4b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
36.0b
(-.f64 (tan.f64 eps) (tan.f64 x))
29.4b
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
▶52.6b
(-.f64 eps (tan.f64 x))
23.0b
(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)
23.3b
(pow.f64 (cbrt.f64 (+.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))))) 3)
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
29.4b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
29.4b
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
22.3b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)) (neg.f64 (tan.f64 x)))
22.4b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (fma.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)) -1))) (neg.f64 (tan.f64 x)))
✓22.2b
(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)))
31.6b
(log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
▶34.4b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
▶14.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.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))))
22.4b
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -1) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
27.1b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
22.3b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
22.8b
(fma.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
46.1b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
▶22.4b
(/.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)))
Compiler

Compiled 2431 to 1511 computations (37.8% saved)

localize71.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
✓0.2b
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓2.7b
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
Compiler

Compiled 155 to 30 computations (80.6% saved)

series17.0ms (0.1%)

Counts
3 → 52
Calls

15 calls:

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

rewrite164.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify75.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01752229
15632094
219851910
Stop Event
1×node limit
Counts
299 → 291
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cos.f64 x))))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 eps 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/24 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 -1/720 (/.f64 (sin.f64 x) (cos.f64 x))))))) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 eps 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (*.f64 1/24 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (pow.f64 x 7)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(fma.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (*.f64 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (pow.f64 x 4) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 4) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
(fma.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (*.f64 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4) (fma.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 1/6 (fma.f64 -1/2 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (*.f64 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (fma.f64 (neg.f64 (pow.f64 x 5)) (+.f64 (-.f64 (+.f64 -1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/2)) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6) (/.f64 (cos.f64 eps) (sin.f64 eps))) 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))))
(fma.f64 (pow.f64 x 5) (neg.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 eps) 1/6) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps) (fma.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/6)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 4) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 eps 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3) (/.f64 (*.f64 1/24 (sin.f64 x)) (cos.f64 x)))) (pow.f64 eps 5) (fma.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3) (pow.f64 eps 3) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120 (*.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1/24 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/3 (pow.f64 eps 3)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 7/40) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/24)) (pow.f64 eps 5))))
(+.f64 (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/24 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 -1/720 (/.f64 (sin.f64 x) (cos.f64 x))))))) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 1/24 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 eps 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 3)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(fma.f64 (pow.f64 eps 7) (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/5040) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3) (fma.f64 -1/2 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3) (/.f64 (*.f64 1/24 (sin.f64 x)) (cos.f64 x)))) (/.f64 (*.f64 -1/720 (sin.f64 x)) (cos.f64 x))))) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3) (/.f64 (*.f64 1/24 (sin.f64 x)) (cos.f64 x)))) (pow.f64 eps 5) (fma.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/3) (pow.f64 eps 3) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))))
(fma.f64 (pow.f64 eps 7) (-.f64 (-.f64 (/.f64 -1/5040 (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/72)) (fma.f64 -1/2 (+.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120 (*.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1/24 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/720))) (fma.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/120 (*.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1/24 (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (pow.f64 eps 7) (-.f64 (*.f64 (/.f64 -1/5040 (cos.f64 x)) (sin.f64 x)) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 7/40) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/24)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1/80))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/3 (pow.f64 eps 3)) (fma.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 7/40) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/24)) (pow.f64 eps 5)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (pow.f64 x 3) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(fma.f64 (pow.f64 x 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) (pow.f64 x 5) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))))
(fma.f64 (pow.f64 x 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (fma.f64 (pow.f64 x 5) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/30) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps))))
(fma.f64 (pow.f64 x 5) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2/15) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 x)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (*.f64 1/24 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (pow.f64 x 7)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (pow.f64 x 5)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(fma.f64 (-.f64 (/.f64 (*.f64 -1/5040 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 -1/2 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3))))) (pow.f64 x 7) (fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)))) (pow.f64 x 5) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/840) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/30) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/72))) (pow.f64 x 7) (fma.f64 (pow.f64 x 3) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (fma.f64 (pow.f64 x 5) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/30) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6)) (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)))))
(fma.f64 (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -4/315) (*.f64 1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2/15))) (pow.f64 x 7) (fma.f64 (pow.f64 x 5) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2/15) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 x 3) 1/3 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/3 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) 1/3 x)))

localize24.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓3.1b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
Compiler

Compiled 27 to 9 computations (66.7% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
917×pow1_binary64
847×add-log-exp_binary64
847×log1p-expm1-u_binary64
847×expm1-log1p-u_binary64
830×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
118913
2251013
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 0) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (+.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) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))))))

simplify195.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
675×sqr-pow_binary64
674×cube-prod_binary64
624×unswap-sqr_binary64
579×fabs-mul_binary64
490×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023212
155210
2124208
3322206
4612206
51358206
62026206
72993206
83147206
93393206
103708206
114189206
124868206
135762206
146408206
156917206
167322206
177701206
187917206
Stop Event
1×node limit
Counts
46 → 30
Calls
Call 1
Inputs
(/.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))
(/.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))
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))
Outputs
(/.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))
(/.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))
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)))))
(fma.f64 17/315 (pow.f64 eps 7) (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps)))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (fma.f64 2/15 (pow.f64 eps 5) eps)))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 17/315 (pow.f64 eps 7) eps)))
(/.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))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
✓0.2b
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓5.4b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
Compiler

Compiled 86 to 27 computations (68.6% saved)

series149.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
32.0ms
x
@inf
(log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
32.0ms
eps
@-inf
(log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
32.0ms
eps
@inf
(log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
31.0ms
x
@-inf
(log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
2.0ms
x
@inf
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))

rewrite131.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
685×log-prod_binary64
530×fma-def_binary64
278×fma-neg_binary64
253×expm1-udef_binary64
252×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01370
127470
2403370
Stop Event
1×node limit
Counts
3 → 209
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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 eps) (neg.f64 (tan.f64 x)) 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 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)))))) (log.f64 (cbrt.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))))))))) (#(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 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (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 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 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simplify174.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
957×fma-def_binary64
811×associate-/l*_binary64
573×distribute-rgt-in_binary64
548×distribute-lft-in_binary64
202×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02285165
17904956
229054729
Stop Event
1×node limit
Counts
281 → 262
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)))
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(log.f64 (+.f64 1 (+.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)))))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.f64 (+.f64 1 (+.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)))))))))
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)) (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 (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 (*.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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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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(log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (-.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) 1/2) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3))) (+.f64 (*.f64 -6 (/.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)) (*.f64 (cos.f64 x) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (*.f64 6 (/.f64 (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (cos.f64 x) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps) (log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3)) (fma.f64 -6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (*.f64 6 (/.f64 (-.f64 1/3 (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 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) eps (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 3)) (fma.f64 -6 (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (cos.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))) (/.f64 (*.f64 (-.f64 1/3 (-.f64 (*.f64 -1/3 (/.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)))))) 6) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (-.f64 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2))))) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(fma.f64 (pow.f64 eps 3) (*.f64 (fma.f64 2 (pow.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))) 2)) -6) (*.f64 (/.f64 6 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.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))))))) 1/6) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 2 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))))) 1/2) (fma.f64 eps (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))
(log.f64 (+.f64 1 (+.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)))))))))
(log.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 1 (/.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))))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps))))))
(log1p.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x)))))))

localize197.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.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)))
✓0.2b
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓9.5b
(-.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)))
Compiler

Compiled 107 to 30 computations (72% saved)

series19.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(/.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)))
1.0ms
eps
@-inf
(/.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)))
1.0ms
x
@inf
(/.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)))
1.0ms
eps
@0
(/.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)))
1.0ms
x
@0
(-.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)))

rewrite196.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
770×fma-def_binary64
376×fma-neg_binary64
338×expm1-udef_binary64
337×log1p-udef_binary64
193×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01693
136793
2562193
Stop Event
1×node limit
Counts
3 → 253
Calls
Call 1
Inputs
(-.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 (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)))
Outputs
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simplify147.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
830×fma-def_binary64
691×associate-*r*_binary64
669×associate-*l*_binary64
401×times-frac_binary64
374×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01823738
15933639
219472906
Stop Event
1×node limit
Counts
325 → 305
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/18 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/15 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 6)) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps)
(+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))
(+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))))
(+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 17/315 (cos.f64 x)) (*.f64 -17/315 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.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)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 2/15 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (sin.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (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 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps)))) (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 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (cos.f64 x)) (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (cos.f64 x)) (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 3))))) (pow.f64 eps 3))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (cos.f64 x)) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 3))))) (pow.f64 eps 3)) (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 3))))) (sin.f64 x)) (cos.f64 x)))))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (-.f64 (*.f64 (cos.f64 x) (+.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)))) (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 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (*.f64 (cos.f64 x) (-.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 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/24) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/6)) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 5/24) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(-.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))

eval1.3s (4.3%)

Compiler

Compiled 63693 to 20163 computations (68.3% saved)

prune573.0ms (1.9%)

Pruning

66 alts after pruning (61 fresh and 5 done)

PrunedKeptTotal
New1427421469
Fresh181937
Picked101
Done257
Total1448661514
Error
0.0b
Counts
1514 → 66
Alt Table
Click to see full alt table
StatusErrorProgram
42.9b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
59.8b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
▶22.9b
(pow.f64 (cbrt.f64 (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)))) 3)
26.5b
(/.f64 (sin.f64 eps) (cos.f64 eps))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))
41.9b
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))
▶31.0b
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
✓36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
37.1b
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
45.1b
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
24.1b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 eps eps) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 3))))
40.1b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
34.4b
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
28.2b
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
44.7b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
27.3b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3)) (tan.f64 x))
30.0b
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
40.8b
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
29.8b
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
36.7b
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.8b
(/.f64 (pow.f64 (pow.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))) 3) 1/3) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
31.6b
(-.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1) (tan.f64 x))
48.0b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
31.4b
(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))))
✓29.0b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
40.7b
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
31.4b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
48.5b
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
35.9b
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
▶29.4b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
22.6b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
22.4b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
36.0b
(-.f64 (tan.f64 eps) (tan.f64 x))
22.5b
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
37.2b
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
29.4b
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
✓52.6b
(-.f64 eps (tan.f64 x))
23.0b
(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)
50.6b
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
40.8b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
▶14.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x))))
27.2b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
31.5b
(/.f64 (log.f64 (exp.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)))
29.9b
(-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))))
22.2b
(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)))
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
22.4b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) (cos.f64 x)))
25.8b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))))
22.2b
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
29.9b
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
43.7b
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3)
▶44.1b
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
29.4b
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.f64 x))
43.4b
eps
29.4b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
36.9b
(+.f64 (/.f64 (exp.f64 (log.f64 (tan.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))))
29.4b
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
29.8b
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
✓22.2b
(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)))
29.3b
(/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
22.4b
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -1) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
22.5b
(fma.f64 (/.f64 (cos.f64 x) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
27.1b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
22.3b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
36.0b
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
Compiler

Compiled 2890 to 1791 computations (38% saved)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
0.2b
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓2.7b
(+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))
Compiler

Compiled 138 to 35 computations (74.6% saved)

series14.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
eps
@inf
(+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))
2.0ms
x
@-inf
(+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))
2.0ms
x
@inf
(+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))
1.0ms
x
@0
(+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))
1.0ms
eps
@-inf
(+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))

rewrite126.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
470×log-prod_binary64
371×exp-prod_binary64
282×pow-prod-down_binary64
262×pow2_binary64
182×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
121519
2314419
Stop Event
1×node limit
Counts
1 → 110
Calls
Call 1
Inputs
(+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)) 2) (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)) 0) (tan.f64 x))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (sqrt.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (fma.f64 (tan.f64 eps) (tan.f64 x) 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((x fma.f64 (pow.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) 1) -1/2) (/.f64 (tan.f64 x) (sqrt.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (sqrt.f64 (tan.f64 x))) (+.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1))) (sqrt.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) 1)))))))

simplify148.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
633×unswap-sqr_binary64
511×times-frac_binary64
466×associate-*r*_binary64
459×associate-*l*_binary64
351×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0991271
13081232
211191204
366621133
Stop Event
1×node limit
Counts
134 → 129
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))))
(-.f64 (/.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 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 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 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 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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -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 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.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))) (pow.f64 eps 4))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -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 (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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
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(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (sin.f64 x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (pow.f64 eps 4)) (+.f64 (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (fma.f64 (neg.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (pow.f64 eps 4) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(-.f64 (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (*.f64 eps eps))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (/.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (*.f64 (fma.f64 -1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (-.f64 (*.f64 -1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (/.f64 (cos.f64 x) (sin.f64 x))))) (pow.f64 eps 4))))
(-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (*.f64 (/.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (*.f64 eps eps)))) (*.f64 (fma.f64 -1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (-.f64 (*.f64 -1/3 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (cos.f64 x)))) (pow.f64 eps 4)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.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 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) (*.f64 1 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
✓0.1b
(*.f64 1/3 (pow.f64 eps 3))
Compiler

Compiled 20 to 15 computations (25% saved)

series10.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
1.0ms
eps
@0
(*.f64 1/3 (pow.f64 eps 3))
1.0ms
eps
@inf
(*.f64 1/3 (pow.f64 eps 3))
1.0ms
eps
@-inf
(*.f64 1/3 (pow.f64 eps 3))
1.0ms
eps
@inf
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))

rewrite151.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
749×pow1_binary64
706×add-log-exp_binary64
706×log1p-expm1-u_binary64
706×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115815
2192015
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 eps 3))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cbrt.f64 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 eps 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (pow.f64 eps 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/3 (pow.f64 eps 3) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (*.f64 -1/3 (pow.f64 eps 3)))) (/.f64 (*.f64 (pow.f64 eps 6) 1/9) (+.f64 eps (*.f64 -1/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (pow.f64 eps 3) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)) (sqrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/27)) (/.f64 1 (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 eps 6) 1/9) (*.f64 eps (*.f64 1/3 (pow.f64 eps 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) 1/9)) (/.f64 1 (+.f64 eps (*.f64 -1/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 eps 6) 1/9) (*.f64 eps (*.f64 1/3 (pow.f64 eps 3))))) (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (*.f64 -1/3 (pow.f64 eps 3))) (-.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/27)) (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 eps 6) 1/9) (*.f64 eps (*.f64 1/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/27)) (+.f64 (*.f64 (pow.f64 eps 6) 1/9) (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 1/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) 1/9)) (+.f64 eps (*.f64 -1/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 (pow.f64 eps 3) 3) 1/27))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 (pow.f64 eps 6) 1/9) (*.f64 eps (*.f64 1/3 (pow.f64 eps 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) 1/9))) (neg.f64 (+.f64 eps (*.f64 -1/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 eps 6) 1/9) (*.f64 eps eps)) (-.f64 (*.f64 1/3 (pow.f64 eps 3)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (pow.f64 eps 3) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) 1/3 eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (*.f64 1/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (pow.f64 eps 3)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 eps (cbrt.f64 1/3)) 2) (*.f64 eps (cbrt.f64 1/3)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 1/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 eps 3/2)) (*.f64 (sqrt.f64 1/3) (pow.f64 eps 3/2)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 1/3 (pow.f64 eps 3)))))))

simplify201.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
471×fabs-mul_binary64
438×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11515
23215
35615
411415
532615
6118015
7186915
8195615
9208915
10224715
11248615
12280815
13323115
14373315
15433515
16505715
17537815
18566415
19588615
20606415
21614415
22708415
Stop Event
1×node limit
Counts
49 → 48
Calls
Call 1
Inputs
eps
(*.f64 1/3 (pow.f64 eps 3))
(*.f64 1/3 (pow.f64 eps 3))
Outputs
eps
(*.f64 1/3 (pow.f64 eps 3))
(*.f64 1/3 (pow.f64 eps 3))

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
✓0.2b
(pow.f64 (sin.f64 x) 2)
✓0.3b
(pow.f64 (cos.f64 x) 2)
✓4.3b
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
Compiler

Compiled 50 to 27 computations (46% saved)

series12.0ms (0%)

Counts
4 → 36
Calls

15 calls:

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

rewrite104.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

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

simplify96.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
074651
1204621
2588586
32544578
Stop Event
1×node limit
Counts
130 → 125
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 -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))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))
(*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (fma.f64 (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (pow.f64 x 8) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (fma.f64 (*.f64 eps 62/315) (pow.f64 x 8) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
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 (-.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (*.f64 x x))
(-.f64 1 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (*.f64 x x)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/3 (-.f64 (*.f64 (pow.f64 x 6) -2/45) (*.f64 x x))))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (fma.f64 x x -1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -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 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (fma.f64 x x (*.f64 -1/315 (pow.f64 x 8)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (fma.f64 -1/315 (pow.f64 x 8) (*.f64 x x))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x 4) 2/3))
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))
(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 x x (*.f64 (pow.f64 x 6) 17/45))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 (pow.f64 x 6) 17/45 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (fma.f64 (pow.f64 x 6) 17/45 (*.f64 (pow.f64 x 8) 62/315))))

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓4.7b
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1))
Compiler

Compiled 95 to 42 computations (55.8% saved)

series19.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite171.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
402×fma-def_binary64
359×expm1-udef_binary64
359×log1p-udef_binary64
260×fma-neg_binary64
208×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01944
142444
2599444
Stop Event
1×node limit
Counts
2 → 144
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 eps) (*.f64 1/2 (*.f64 x x))) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (tan.f64 eps) (*.f64 1/2 (*.f64 x x))) 1) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 eps) (fma.f64 1/2 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (fma.f64 1/2 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 1 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1) (*.f64 (/.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (-.f64 1 (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) -1) (*.f64 (/.f64 1 (tan.f64 eps)) (fma.f64 x (*.f64 x 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (fma.f64 1/2 (*.f64 x x) 1)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 eps) (fma.f64 1/2 (*.f64 x x) 1))) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1)) (*.f64 (cos.f64 eps) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (-.f64 1 (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 eps)) (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1)) (*.f64 (neg.f64 (cos.f64 eps)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (-.f64 1 (*.f64 1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) -1)) (*.f64 (cos.f64 eps) (fma.f64 x (*.f64 x 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 eps)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) -1)) (*.f64 (neg.f64 (cos.f64 eps)) (fma.f64 x (*.f64 x 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1) (sin.f64 eps)) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (-.f64 1 (*.f64 1/2 (*.f64 x x)))) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) -1) (sin.f64 eps)) (*.f64 (fma.f64 x (*.f64 x 1/2) -1) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 1) 1) (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (-.f64 1 (*.f64 1/2 (*.f64 x x)))) (/.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) -1) 1) (*.f64 (fma.f64 x (*.f64 x 1/2) -1) (/.f64 1 (tan.f64 eps))))))) (#(struct:change 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simplify99.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
666×fma-def_binary64
581×associate-*r*_binary64
569×times-frac_binary64
559×associate-*l*_binary64
455×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01602426
15472252
219302057
Stop Event
1×node limit
Counts
192 → 182
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 1/24 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 1/24 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 -1/5040 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 1/24 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 1/24 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 -1/720 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 eps (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (*.f64 (pow.f64 eps 2) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (cos.f64 x))))) (pow.f64 eps 3)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (cos.f64 x))))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 -1/3 (sin.f64 x)))) (pow.f64 (cos.f64 x) 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 x)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (cos.f64 x))))) (pow.f64 eps 3)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/2 (/.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 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (sin.f64 eps)) (*.f64 -1/3 (sin.f64 eps))) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/2 (/.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 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
Outputs
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps)
(*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) eps)
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) eps)
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))))
(fma.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) eps (*.f64 (pow.f64 eps 3) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1/3)))
(fma.f64 (fma.f64 1/2 (*.f64 x x) 1) eps (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 1/3 (pow.f64 eps 3))))
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) eps))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 1/24 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))))
(fma.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) eps (fma.f64 (pow.f64 eps 5) (-.f64 (+.f64 1/120 (*.f64 1/120 (*.f64 1/2 (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1/3) (+.f64 1/24 (*.f64 (*.f64 1/2 (*.f64 x x)) 1/24)))) (*.f64 (pow.f64 eps 3) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1/3))))
(fma.f64 (fma.f64 1/2 (*.f64 x x) 1) eps (fma.f64 (pow.f64 eps 5) (+.f64 1/120 (-.f64 (*.f64 (*.f64 x x) 1/240) (fma.f64 (fma.f64 1/2 (*.f64 x x) 1) 1/24 (+.f64 -1/6 (*.f64 (*.f64 x x) -1/12))))) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 1/3 (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) 7/40) (fma.f64 (*.f64 x x) 1/48 1/24)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) eps) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 1/24 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 -1/5040 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 1/24 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1/6 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 -1/2 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 1/24 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 -1/720 (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))))))))))
(fma.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) eps (fma.f64 (pow.f64 eps 5) (-.f64 (+.f64 1/120 (*.f64 1/120 (*.f64 1/2 (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1/3) (+.f64 1/24 (*.f64 (*.f64 1/2 (*.f64 x x)) 1/24)))) (fma.f64 (pow.f64 eps 3) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1/3) (*.f64 (pow.f64 eps 7) (-.f64 (+.f64 -1/5040 (*.f64 (*.f64 1/2 (*.f64 x x)) -1/5040)) (fma.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1/3) (fma.f64 -1/2 (-.f64 (+.f64 1/120 (*.f64 1/120 (*.f64 1/2 (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1/3) (+.f64 1/24 (*.f64 (*.f64 1/2 (*.f64 x x)) 1/24)))) (+.f64 -1/720 (*.f64 (*.f64 1/2 (*.f64 x x)) -1/720)))))))))
(fma.f64 (fma.f64 1/2 (*.f64 x x) 1) eps (fma.f64 (pow.f64 eps 5) (+.f64 1/120 (-.f64 (*.f64 (*.f64 x x) 1/240) (fma.f64 (fma.f64 1/2 (*.f64 x x) 1) 1/24 (+.f64 -1/6 (*.f64 (*.f64 x x) -1/12))))) (fma.f64 (pow.f64 eps 7) (-.f64 (+.f64 -1/5040 (-.f64 (*.f64 (*.f64 x x) -1/10080) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) 1/72))) (fma.f64 -1/2 (+.f64 1/120 (-.f64 (*.f64 (*.f64 x x) 1/240) (fma.f64 (fma.f64 1/2 (*.f64 x x) 1) 1/24 (+.f64 -1/6 (*.f64 (*.f64 x x) -1/12))))) (+.f64 -1/720 (*.f64 (*.f64 x x) -1/1440)))) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 1/3 (pow.f64 eps 3))))))
(+.f64 (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) 7/40) (fma.f64 (*.f64 x x) 1/48 1/24)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) eps))) (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -71/5040) (fma.f64 -1/2 (-.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) 7/40) (fma.f64 (*.f64 x x) 1/48 1/24)) (fma.f64 (*.f64 x x) -1/1440 -1/720)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x x) 1))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(fma.f64 1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (cos.f64 x)) (/.f64 x (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 x)))))) (/.f64 (sin.f64 eps) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 x))))))
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 x (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 1))) (/.f64 (sin.f64 eps) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 1))))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.4b
(cbrt.f64 (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))))
✓0.5b
(pow.f64 (cbrt.f64 (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)))) 3)
3.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Compiler

Compiled 97 to 34 computations (64.9% saved)

series159.0ms (0.5%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
77.0ms
eps
@0
(pow.f64 (cbrt.f64 (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)))) 3)
37.0ms
x
@-inf
(pow.f64 (cbrt.f64 (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)))) 3)
13.0ms
eps
@-inf
(cbrt.f64 (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))))
11.0ms
eps
@0
(cbrt.f64 (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))))
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (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)))) 3)

rewrite214.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
641×log-prod_binary64
360×pow2_binary64
342×fma-def_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01560
133254
2419850
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (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)))) 3)
(cbrt.f64 (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))))
Outputs
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simplify168.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
748×fma-def_binary64
594×times-frac_binary64
593×distribute-lft-in_binary64
593×distribute-rgt-in_binary64
314×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01634434
15364347
219544097
Stop Event
1×node limit
Counts
121 → 103
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 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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)))))) (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 1 1/3) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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)))))) (pow.f64 x 2)) (+.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 (pow.f64 x 3) (+.f64 (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 1/3 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 (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 (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 (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 (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 (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 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 (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 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 (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 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 (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 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 (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 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 (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 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 (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 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 (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 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 (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 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 (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 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 (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 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 (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 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))))
(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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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)))) (+.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 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 3)))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 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 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 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 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 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 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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)))))) (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 (+.f64 (*.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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)))))) (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 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 2/3 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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))))) (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)) (*.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 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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))))) (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 2/3 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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))))) (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (*.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 x (*.f64 x (fma.f64 1/3 (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)) -1/3 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 2/3 (*.f64 (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)) -1/3 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (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 (*.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)))) (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 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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)))))) (pow.f64 x 2)) (+.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 (pow.f64 x 3) (+.f64 (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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 1/3 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (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))))))))))))
(fma.f64 (+.f64 (*.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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)))))) (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 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 2/3 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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))))) (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 (*.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 (pow.f64 x 3) (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 2/9 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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 (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))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (*.f64 2/3 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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 (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 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (*.f64 2/3 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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 (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 1/3 (*.f64 (fma.f64 2/3 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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))))) (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 2/9 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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 (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)))))))))))
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(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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)
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(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(cbrt.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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 (/.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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 (/.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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 (/.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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 (/.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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 (/.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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 (/.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.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 (/.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)))))
(cbrt.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (/.f64 (neg.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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (sin.f64 x) (cos.f64 x)))))

eval835.0ms (2.7%)

Compiler

Compiled 33855 to 14496 computations (57.2% saved)

prune287.0ms (0.9%)

Pruning

74 alts after pruning (66 fresh and 8 done)

PrunedKeptTotal
New990191009
Fresh94756
Picked011
Done279
Total1001741075
Error
0.0b
Counts
1075 → 74
Alt Table
Click to see full alt table
StatusErrorProgram
59.8b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
✓22.9b
(pow.f64 (cbrt.f64 (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)))) 3)
46.6b
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
30.9b
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
43.4b
eps
26.5b
(/.f64 (sin.f64 eps) (cos.f64 eps))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))
41.9b
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))
✓31.0b
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
✓36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
37.1b
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
45.1b
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
29.4b
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
40.1b
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
34.4b
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
28.2b
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
44.7b
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
27.3b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3)) (tan.f64 x))
46.7b
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
40.8b
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
29.8b
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
36.7b
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
36.9b
(+.f64 (/.f64 (exp.f64 (log.f64 (tan.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x))))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.8b
(/.f64 (pow.f64 (pow.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))) 3) 1/3) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
31.6b
(-.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1) (tan.f64 x))
48.0b
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 eps) 2)) (tan.f64 x))
31.4b
(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))))
✓29.0b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
40.7b
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
31.4b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
48.5b
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
29.5b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
22.4b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.8b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
35.9b
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
22.6b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
36.0b
(-.f64 (tan.f64 eps) (tan.f64 x))
22.5b
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
29.4b
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
37.2b
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
29.4b
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
✓52.6b
(-.f64 eps (tan.f64 x))
23.0b
(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)
50.6b
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
46.4b
(+.f64 eps (*.f64 eps (*.f64 x x)))
27.2b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
40.8b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
29.7b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) eps))
31.5b
(/.f64 (log.f64 (exp.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)))
29.9b
(-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))))
22.2b
(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)))
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
25.8b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))))
22.2b
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
29.9b
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
43.7b
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3)
✓44.1b
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
29.4b
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
44.6b
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
14.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.f64 x))))
29.8b
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
29.5b
(+.f64 eps (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)) eps))
✓22.2b
(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)))
29.3b
(/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
22.4b
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -1) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
42.9b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
29.6b
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
22.5b
(fma.f64 (/.f64 (cos.f64 x) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
22.3b
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
27.1b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
36.0b
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
42.9b
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
29.4b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Compiler

Compiled 1547 to 994 computations (35.7% saved)

regimes1.3s (4.4%)

Counts
137 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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)
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1) (tan.f64 x))
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
(+.f64 eps (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)) eps))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3)
(fma.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (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)))) 3)
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -1) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))) (exp.f64 (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.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)))
(/.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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) (cos.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))
(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 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(/.f64 (log.f64 (exp.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 (cbrt.f64 (/.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)))) 3)
(/.f64 (pow.f64 (pow.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))) 3) 1/3) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (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))))
(+.f64 (/.f64 (exp.f64 (log.f64 (tan.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (/.f64 (tan.f64 x) (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 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(fma.f64 (/.f64 (cos.f64 x) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (fma.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)) -1))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 eps eps) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 3))))
(pow.f64 (cbrt.f64 (+.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))))) 3)
(+.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 (exp.f64 (log.f64 (tan.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 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(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 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.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 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 eps eps))) (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 (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 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 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)))))))))))))
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
(-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))))
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
Calls

4 calls:

578.0ms
x
263.0ms
eps
199.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
197.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
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 3282 to 1466 computations (55.3% saved)

bsearch109.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
1.4747620014679831e-6
23.385242453441677
50.0ms
-0.000624941289150923
-8.957248511955102e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.3s (4.2%)

Counts
132 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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)
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1) (tan.f64 x))
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
(+.f64 eps (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)) eps))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3)
(fma.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (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)))) 3)
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -1) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))) (exp.f64 (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.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)))
(/.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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) (cos.f64 x)))
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(fma.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(/.f64 (log.f64 (exp.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 (cbrt.f64 (/.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)))) 3)
(/.f64 (pow.f64 (pow.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))) 3) 1/3) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (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))))
(+.f64 (/.f64 (exp.f64 (log.f64 (tan.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (/.f64 (tan.f64 x) (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 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(fma.f64 (/.f64 (cos.f64 x) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (fma.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)) -1))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 eps eps) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 3))))
(pow.f64 (cbrt.f64 (+.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))))) 3)
(+.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 (exp.f64 (log.f64 (tan.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 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(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)))))
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
Calls

4 calls:

661.0ms
x
316.0ms
eps
114.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
102.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
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 2524 to 1004 computations (60.2% saved)

bsearch170.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
64.0ms
1.4747620014679831e-6
23.385242453441677
103.0ms
-0.000624941289150923
-8.957248511955102e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes947.0ms (3.1%)

Counts
130 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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)
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1) (tan.f64 x))
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
(+.f64 eps (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)) eps))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3)
(fma.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (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)))) 3)
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -1) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))) (exp.f64 (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.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)))
(/.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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) (cos.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))
(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 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(/.f64 (log.f64 (exp.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 (cbrt.f64 (/.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)))) 3)
(/.f64 (pow.f64 (pow.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))) 3) 1/3) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (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))))
(+.f64 (/.f64 (exp.f64 (log.f64 (tan.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (/.f64 (tan.f64 x) (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 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(fma.f64 (/.f64 (cos.f64 x) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (fma.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)) -1))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 eps eps) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 3))))
(pow.f64 (cbrt.f64 (+.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))))) 3)
(+.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 (exp.f64 (log.f64 (tan.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 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) (neg.f64 (tan.f64 x))))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))
(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
Calls

4 calls:

411.0ms
x
193.0ms
eps
172.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
111.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
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 2373 to 916 computations (61.4% saved)

bsearch96.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
46.0ms
1.4747620014679831e-6
23.385242453441677
48.0ms
-10.176222388331277
-0.000624941289150923
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes840.0ms (2.8%)

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

4 calls:

455.0ms
x
162.0ms
eps
87.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
87.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
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 2260 to 864 computations (61.8% saved)

bsearch97.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
1.4747620014679831e-6
23.385242453441677
48.0ms
-0.000624941289150923
-8.957248511955102e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes762.0ms (2.5%)

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

4 calls:

381.0ms
x
176.0ms
eps
81.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
80.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.7b8x
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 1978 to 764 computations (61.4% saved)

bsearch97.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
1.6898551015484493e-21
1.3229232815913695e-17
47.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes708.0ms (2.3%)

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

4 calls:

363.0ms
x
145.0ms
eps
80.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
79.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.7b8x
0.3b3eps
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1898 to 737 computations (61.2% saved)

bsearch96.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
50.0ms
1.6898551015484493e-21
1.3229232815913695e-17
46.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes655.0ms (2.2%)

Counts
110 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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)
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1) (tan.f64 x))
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) 3)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))) 2)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3))
(+.f64 eps (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)) eps))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) 3) 1/3)
(fma.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(pow.f64 (cbrt.f64 (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)))) 3)
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -1) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))) (exp.f64 (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (/.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (neg.f64 (tan.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)))
(/.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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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))) (cos.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)))
(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 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))
Calls

4 calls:

337.0ms
x
135.0ms
eps
74.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
72.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.7b8x
0.3b3eps
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1591 to 621 computations (61% saved)

bsearch97.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
1.6898551015484493e-21
1.3229232815913695e-17
47.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes560.0ms (1.8%)

Counts
86 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 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)
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1))) 1) (tan.f64 x))
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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)
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))
(*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))
Calls

4 calls:

308.0ms
x
109.0ms
eps
61.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
56.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.1b8x
0.3b3eps
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1038 to 423 computations (59.2% saved)

bsearch95.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
1.6898551015484493e-21
1.3229232815913695e-17
46.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes518.0ms (1.7%)

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

4 calls:

280.0ms
x
101.0ms
eps
56.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
56.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.1b8x
0.4b3eps
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 977 to 397 computations (59.4% saved)

bsearch96.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
1.6898551015484493e-21
1.3229232815913695e-17
47.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes482.0ms (1.6%)

Counts
78 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (cos.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 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))) eps))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

4 calls:

247.0ms
x
97.0ms
eps
61.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
54.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.1b8x
0.4b3eps
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 889 to 364 computations (59.1% saved)

bsearch100.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
1.3229232815913695e-17
3.589894751290638e-16
48.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes485.0ms (1.6%)

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

4 calls:

229.0ms
x
118.0ms
eps
59.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
58.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.1b8x
0.4b3eps
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 796 to 327 computations (58.9% saved)

bsearch99.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
1.6898551015484493e-21
1.3229232815913695e-17
48.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes295.0ms (1%)

Counts
70 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (tan.f64 x)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 3))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 3) 1/3))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
Outputs
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
Calls

4 calls:

92.0ms
x
87.0ms
eps
49.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
47.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.9b3x
12.4b3eps
13.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 747 to 311 computations (58.4% saved)

bsearch103.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
1.4747620014679831e-6
23.385242453441677
56.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes266.0ms (0.9%)

Counts
65 → 3
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (+.f64 1 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) eps))
(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)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(fma.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))) eps))
(/.f64 (*.f64 (tan.f64 eps) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(log.f64 (*.f64 (exp.f64 (neg.f64 (tan.f64 x))) (exp.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
Outputs
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
Calls

4 calls:

81.0ms
eps
79.0ms
x
44.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
42.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.9b3x
12.4b3eps
13.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 678 to 281 computations (58.6% saved)

bsearch98.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
1.4747620014679831e-6
23.385242453441677
48.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes95.0ms (0.3%)

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

3 calls:

34.0ms
eps
33.0ms
x
21.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b3x
12.5b3eps
13.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 199 to 84 computations (57.8% saved)

bsearch98.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
46.0ms
1.4747620014679831e-6
23.385242453441677
52.0ms
-8.957248511955102e-5
-1.0687029542513169e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes30.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.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 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(*.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) 1) (cos.f64 x)) eps)
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) 1))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log.f64 (/.f64 (exp.f64 (tan.f64 (+.f64 x eps))) (+.f64 x 1)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

3 calls:

10.0ms
eps
9.0ms
x
6.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
26.5b1x
26.5b1eps
26.5b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 148 to 65 computations (56.1% saved)

regimes10.0ms (0%)

Accuracy

Total -10.4b remaining (-24.1%)

Threshold costs -10.4b (-24.1%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
Outputs
eps
Calls

2 calls:

4.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
43.4b1x
43.4b1eps
Compiler

Compiled 28 to 16 computations (42.9% saved)

simplify248.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
340×distribute-rgt-neg-in_binary64
245×cancel-sign-sub-inv_binary64
220×distribute-lft-neg-in_binary64
214×neg-sub0_binary64
211×neg-mul-1_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01631820
12741800
23871800
35061790
46631790
58001790
69291790
710891790
812681790
914661790
1016641790
1118461790
1220011790
1321661790
1423101790
1524101790
1624711790
1725321790
1825881790
1926341790
2026671790
2126971790
2227151790
2327191790
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(if (<=.f64 eps -5728703919516005/562949953421312) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (fma.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1073282874857727/81129638414606681695789005144064) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
eps
Outputs
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (+.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 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 -1/3 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (-.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 -1/3 (-.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 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 -1/3 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x)))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 -1/3 (-.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 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 -1/3 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 (fma.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 -1/3 (-.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 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 (-.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 -1/3 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (*.f64 (tan.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (cos.f64 x)))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(if (<=.f64 eps -2882033005515299/4611686018427387904) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (cos.f64 x))))))) (fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
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(if (<=.f64 eps -6609282836186059/73786976294838206464) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (*.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (/.f64 eps (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x)) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) 1)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 1073282874857727/81129638414606681695789005144064) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 8984810839192643/5316911983139663491615228241121378304) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2)) eps)) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 eps (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (cos.f64 x) 2)))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 eps (/.f64 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 x 2)) -1/2)) (pow.f64 (cos.f64 x) 2)))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 x 2)))) (pow.f64 (cos.f64 x) 2)))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6609282836186059/73786976294838206464) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3482183322971079/2361183241434822606848) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
eps
Compiler

Compiled 1161 to 610 computations (47.5% saved)

soundness251.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
830×fma-def_binary64
691×associate-*r*_binary64
669×associate-*l*_binary64
401×times-frac_binary64
374×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01823738
15933639
219472906
Stop Event
1×node limit
Compiler

Compiled 9842 to 6007 computations (39% saved)

end318.0ms (1%)

Compiler

Compiled 1131 to 474 computations (58.1% saved)

Profiling

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