Details

Time bar (total: 20.6s)

analyze625.0ms (3%)

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

Compiled 10 to 7 computations (30% saved)

sample3.7s (17.8%)

Results
1.8s3556×body1024valid
991.0ms1299×body2048valid
502.0ms1453×body512valid
335.0ms1948×body256valid
Bogosity

preprocess24.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
144×fma-def
80×associate--r+
72×associate-+l-
56×+-commutative
48×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
11942
22742
34142
45642
58442
617242
723742
831842
939942
1044742
1145142
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)

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
80×fma-def
42×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11221
21721
32521
43421
55121
610321
714321
818721
923021
1025421
1125621
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
37.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓2.8b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series44.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
36.0ms
eps
@0
(tan.f64 (+.f64 x eps))
1.0ms
x
@0
(tan.f64 (+.f64 x eps))
1.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

rewrite92.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1292×associate-*r/
1046×*-commutative
1022×associate-*l/
648×distribute-lft-in
636×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120732
2299732
Stop Event
1×node limit
Counts
2 → 166
Calls
Call 1
Inputs
(tan.f64 (+.f64 x eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
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simplify189.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1032×associate-+r-
714×fma-def
658×associate-/l*
606×associate-*r*
494×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054613904
1157013404
2730513404
Stop Event
1×node limit
Counts
214 → 302
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)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(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)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.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 (/.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 (/.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 (/.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 (*.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 (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 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 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 (-.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 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (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 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 (+.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))))))
(+.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 (/.f64 (sin.f64 x) (cos.f64 x)) (+.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)))))))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.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 (pow.f64 eps 3) (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))))
(/.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)))
(/.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 (*.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) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (*.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 (/.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)))))
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(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))

eval113.0ms (0.5%)

Compiler

Compiled 9436 to 3641 computations (61.4% saved)

prune144.0ms (0.7%)

Pruning

41 alts after pruning (40 fresh and 1 done)

PrunedKeptTotal
New26240302
Fresh000
Picked011
Done000
Total26241303
Error
0.1b
Counts
303 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
34.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
38.0b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
20.2b
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
▶20.2b
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
20.2b
(/.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)))
37.6b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
33.9b
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))
51.0b
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
50.2b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
38.1b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
24.2b
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
21.5b
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.9b
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x))
20.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.0b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
21.1b
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
42.4b
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
37.6b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
37.2b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
▶37.6b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
48.5b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
▶20.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.3b
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.1b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
37.7b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
✓37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
38.0b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
44.8b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
48.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
▶41.2b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
50.6b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
40.1b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
45.4b
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
34.0b
(+.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)))))))))))))
33.9b
(+.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 -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))))))))))))
▶33.5b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
33.5b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
37.9b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
48.9b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
Compiler

Compiled 2241 to 1420 computations (36.6% saved)

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(*.f64 (tan.f64 eps) (tan.f64 eps))
✓0.3b
(pow.f64 (tan.f64 x) 2)
✓3.7b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 131 to 46 computations (64.9% saved)

series18.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
4.0ms
x
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
2.0ms
eps
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
2.0ms
x
@-inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
2.0ms
eps
@0
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite120.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
690×associate-+l+
454×add-sqr-sqrt
446×*-un-lft-identity
446×+-commutative
444×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019126
143488
2642688
Stop Event
1×node limit
Counts
4 → 138
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (tan.f64 x) 2)
(*.f64 (tan.f64 eps) (tan.f64 eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) 1) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify166.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1102×associate-/r*
984×associate-*r/
826×associate-+r+
810×+-commutative
806×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046114258
1123712756
2484012752
Stop Event
1×node limit
Counts
210 → 254
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 (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))))
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(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))
(pow.f64 (tan.f64 eps) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))
(-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1)
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1/2)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.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))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 (/.f64 (*.f64 1/3 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)) 1) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (tan.f64 x) (tan.f64 eps))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (tan.f64 (+.f64 x eps)))
✓0.2b
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
2.8b
(tan.f64 (+.f64 x eps))
✓4.8b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 39 to 17 computations (56.4% saved)

series10.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/.f64 1 (tan.f64 (+.f64 x eps)))
1.0ms
eps
@0
(/.f64 1 (tan.f64 (+.f64 x eps)))
0.0ms
x
@-inf
(/.f64 1 (tan.f64 (+.f64 x eps)))
0.0ms
x
@inf
(/.f64 1 (tan.f64 (+.f64 x eps)))
0.0ms
eps
@-inf
(/.f64 1 (tan.f64 (+.f64 x eps)))

rewrite90.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
932×associate-/r*
824×distribute-rgt-in
784×distribute-lft-in
548×associate-/r/
498×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
127649
2359649
Stop Event
1×node limit
Counts
3 → 194
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 1 (tan.f64 (+.f64 x eps)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))))))

simplify144.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1124×associate-*r*
834×associate-*l*
748×*-commutative
704×associate-/l*
606×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067916594
1203116310
Stop Event
1×node limit
Counts
266 → 374
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)))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(*.f64 1 (tan.f64 (+.f64 x eps)))
(*.f64 1 (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1)
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) -1) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) -1))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 1) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 1) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) 1) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) -1) (cbrt.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) -1))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 x eps))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (*.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (*.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)
(*.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
(*.f64 1 (neg.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 1)
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 -1 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) -1))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 1) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 1)
(pow.f64 (tan.f64 (+.f64 x eps)) -1)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 1))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (*.f64 (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.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 (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (/.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 -1 (*.f64 (+.f64 1/2 (fma.f64 -1/2 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) (*.f64 (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x 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 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.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)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))
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(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))) -1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (sin.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) -1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 1) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (sin.f64 (+.f64 eps x))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (sqrt.f64 (sin.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x))))) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (sin.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (/.f64 1 (*.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) -2) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (sin.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) -2) (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (tan.f64 (+.f64 x eps)) -1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 2)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 eps x)) 3)))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 eps x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) -1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(log1p.f64 (tan.f64 (+.f64 x eps)))
✓0.2b
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
2.8b
(tan.f64 (+.f64 x eps))
✓6.2b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series152.0ms (0.7%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
80.0ms
eps
@-inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
38.0ms
x
@inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
16.0ms
eps
@inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
12.0ms
x
@-inf
(log1p.f64 (tan.f64 (+.f64 x eps)))
2.0ms
x
@0
(log1p.f64 (tan.f64 (+.f64 x eps)))

rewrite93.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1354×associate-*r/
1114×*-commutative
1092×associate-*l/
696×distribute-lft-in
338×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
124547
2323047
Stop Event
1×node limit
Counts
3 → 195
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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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))))))

simplify184.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
866×associate-*r*
780×associate-/l*
752×distribute-lft-in
686×distribute-rgt-in
660×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067918731
1199918561
Stop Event
1×node limit
Counts
267 → 390
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))
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(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) 0)
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) -1))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) -1)
(+.f64 -1 (+.f64 (tan.f64 (+.f64 x eps)) 1))
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 1)
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2)
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(*.f64 1 (tan.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (/.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (+.f64 (tan.f64 (+.f64 x eps)) 1)) 1) (+.f64 (tan.f64 (+.f64 x eps)) 2))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (+.f64 (tan.f64 (+.f64 x eps)) 1)) (+.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (+.f64 (tan.f64 (+.f64 x eps)) 1)) 1)) (+.f64 (tan.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (+.f64 (tan.f64 (+.f64 x eps)) 1)) (+.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (+.f64 (tan.f64 (+.f64 x eps)) 1)) 1) 1) (+.f64 (tan.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (+.f64 (tan.f64 (+.f64 x eps)) 1)) (+.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps))))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 x eps))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))) 1)
(*.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 1)
(*.f64 1 (log1p.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 2))
(log.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 (+.f64 x 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)))
(+.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) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (/.f64 (-.f64 1 (/.f64 (neg.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 (/.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 (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (/.f64 (-.f64 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 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) (/.f64 (-.f64 1 (/.f64 (neg.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 (/.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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.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)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(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 (-.f64 (/.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (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))))
(+.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))))))
(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 x (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (/.f64 (neg.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 (/.f64 (neg.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)) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (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)))))
(+.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 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2)) (sin.f64 eps))))))) (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(fma.f64 1/2 (*.f64 x (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (/.f64 (neg.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 (/.f64 (neg.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)) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (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 (/.f64 (neg.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (fma.f64 -1/2 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (/.f64 (pow.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) 2) (/.f64 (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))))))
(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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 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 (-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (/.f64 (neg.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))))
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(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps))))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x))))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(tan.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(tan.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(tan.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(tan.f64 (+.f64 eps x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))) 1)
(log1p.f64 (tan.f64 (+.f64 eps x)))
(*.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 1)
(log1p.f64 (tan.f64 (+.f64 eps x)))
(*.f64 1 (log1p.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (tan.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (tan.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2))
(log1p.f64 (tan.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (tan.f64 (+.f64 eps x)))
(pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 1)
(log1p.f64 (tan.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 2)
(log1p.f64 (tan.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 3)
(log1p.f64 (tan.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 3) 1/3)
(log1p.f64 (tan.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 eps x))) 2))
(log.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1))
(log.f64 (+.f64 1 (tan.f64 (+.f64 eps x))))
(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 (+.f64 x eps))) 3))
(log1p.f64 (tan.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (tan.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))))
(log1p.f64 (tan.f64 (+.f64 eps x)))

localize63.0ms (0.3%)

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 (cos.f64 x) 2)
✓0.3b
(pow.f64 (sin.f64 x) 2)
✓4.5b
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
Compiler

Compiled 50 to 27 computations (46% saved)

series6.0ms (0%)

Counts
4 → 36
Calls

15 calls:

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

rewrite105.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1056×*-commutative
980×associate-/r*
918×associate-*r/
736×associate-/l*
646×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01282
124870
2307670
Stop Event
1×node limit
Counts
4 → 258
Calls
Call 1
Inputs
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
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(/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 eps (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (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 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (/.f64 1 (cos.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (/.f64 1 (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 (*.f64 eps (pow.f64 (sin.f64 x) 2)) -1) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) 1) (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) 1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 eps 1) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 eps 1) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 eps 1) 1) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 eps 1) 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(#(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 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (/.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))

simplify133.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
842×associate-*r*
840×associate-/r*
732×associate-*l*
640×distribute-lft-neg-in
558×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06039808
114689182
261019116
Stop Event
1×node limit
Counts
294 → 362
Calls
Call 1
Inputs
(/.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 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)))
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(/.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))
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(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
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1
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(+.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)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)
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(/.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps))))
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(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 eps))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
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(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))
(/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
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(/.f64 (/.f64 (/.f64 eps (/.f64 1 (pow.f64 (sin.f64 x) 2))) 1) (pow.f64 (cos.f64 x) 2))
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(/.f64 (/.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) eps))
(neg.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (*.f64 (/.f64 eps 1) (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(neg.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1))
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (cos.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 1 (pow.f64 (cos.f64 x) -2))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 1) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 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))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.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)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (/.f64 (sin.f64 x) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 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)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(*.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)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.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)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 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)))
(*.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)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))
(neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
Outputs
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
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(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.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)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.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)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.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)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.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)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 (+.f64 x x)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.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 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))
✓8.1b
(-.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 124 to 34 computations (72.6% saved)

series15.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
3.0ms
eps
@-inf
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
1.0ms
x
@inf
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
1.0ms
x
@-inf
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
1.0ms
eps
@0
(/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))

rewrite242.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1882×associate-/r/
562×associate-+l+
434×add-sqr-sqrt
430×pow1
430×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018183
1407183
26142175
Stop Event
1×node limit
Counts
3 → 272
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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
Outputs
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simplify328.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1082×associate-*r*
1052×associate-/l*
932×associate-+r+
904×associate-*l*
840×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082241280
1257240436
Stop Event
1×node limit
Counts
344 → 456
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))))))
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(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2))) (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) 1) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) 1) (/.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(*.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 1 (cos.f64 x))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 1 (cos.f64 x))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) 1) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) 1) (/.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 x) (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) -1)
(neg.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.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 (-.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 (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (*.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 1/24 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.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))))
(+.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)))))
(fma.f64 (-.f64 (/.f64 (*.f64 -1/720 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/18 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -17/120))) (pow.f64 x 6) (fma.f64 (fma.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (*.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/720) (fma.f64 1/18 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -17/120))) (pow.f64 x 6) (fma.f64 (-.f64 (/.f64 1/24 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.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)))))
(-.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))))))
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(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) 1/3)
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (/.f64 (cos.f64 x) (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) -1)
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))

eval1.3s (6.2%)

Compiler

Compiled 78765 to 31515 computations (60% saved)

prune938.0ms (4.5%)

Pruning

60 alts after pruning (57 fresh and 3 done)

PrunedKeptTotal
New2121472168
Fresh251035
Picked101
Done235
Total2149602209
Error
0.0b
Counts
2209 → 60
Alt Table
Click to see full alt table
StatusErrorProgram
20.0b
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
33.9b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
34.0b
(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 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
40.9b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
20.8b
(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)
38.0b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
20.2b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
20.3b
(/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
33.8b
(/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
33.3b
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
20.2b
(/.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)))
26.0b
(/.f64 (sin.f64 eps) (cos.f64 eps))
37.6b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
24.2b
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
▶20.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
37.2b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
46.9b
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
45.0b
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
44.9b
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
▶20.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.3b
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.2b
(-.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
✓37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
48.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
27.5b
(-.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))
✓41.2b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
48.0b
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
34.0b
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.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 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 4)) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))
47.8b
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
33.6b
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
33.5b
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
33.5b
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
▶33.5b
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
33.5b
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
33.5b
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
33.5b
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
43.6b
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
46.2b
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
33.5b
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
✓33.5b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
43.2b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
42.8b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
▶33.5b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
▶46.1b
(+.f64 eps (*.f64 eps (*.f64 x x)))
38.0b
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
42.9b
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
44.8b
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
33.5b
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))
21.6b
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
20.8b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
28.2b
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
27.4b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
48.9b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
29.9b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
41.1b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
22.7b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
Compiler

Compiled 2657 to 1677 computations (36.9% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(pow.f64 (tan.f64 eps) 2)
0.3b
(pow.f64 (tan.f64 x) 2)
✓3.7b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 125 to 57 computations (54.4% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
x
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
x
@-inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
eps
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
eps
@-inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite100.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
682×associate-+l+
454×add-sqr-sqrt
446×*-un-lft-identity
442×pow1
442×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01994
143662
2639562
Stop Event
1×node limit
Counts
2 → 100
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (tan.f64 eps) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 4)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 eps) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))))))

simplify190.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1204×associate-/l*
1042×associate-+r+
996×+-commutative
860×*-commutative
834×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034212498
193612112
2373812068
Stop Event
1×node limit
Counts
136 → 193
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 (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 (*.f64 1/3 (/.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))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.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 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.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 -1 (/.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 -1 (/.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 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.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 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 4)) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (*.f64 17/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/3 (pow.f64 eps 4)) (+.f64 (*.f64 17/45 (pow.f64 eps 6)) (*.f64 62/315 (pow.f64 eps 8)))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)
(*.f64 (tan.f64 eps) (tan.f64 eps))
(*.f64 1 (pow.f64 (tan.f64 eps) 2))
(*.f64 (pow.f64 (tan.f64 eps) 2) 1)
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 4)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (*.f64 (tan.f64 eps) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))
(sqrt.f64 (pow.f64 (tan.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (tan.f64 eps))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))
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) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.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 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.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))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 (/.f64 (*.f64 1/3 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (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 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(fma.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (pow.f64 (cos.f64 eps) 2)))) (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 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (cos.f64 x)) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x))) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (fma.f64 (cos.f64 x) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(-.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)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2))
(fabs.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(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)))
(-.f64 (*.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)) (tan.f64 x))
(-.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(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)))
(-.f64 (*.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)) (tan.f64 x))
(-.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)
(pow.f64 (tan.f64 eps) 2)
(*.f64 (tan.f64 eps) (tan.f64 eps))
(pow.f64 (tan.f64 eps) 2)
(*.f64 1 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (tan.f64 eps) 2)
(*.f64 (pow.f64 (tan.f64 eps) 2) 1)
(pow.f64 (tan.f64 eps) 2)
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(pow.f64 (tan.f64 eps) 2)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (tan.f64 eps)))
(pow.f64 (tan.f64 eps) 2)
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 4)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) 4)))
(*.f64 (*.f64 (tan.f64 eps) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(pow.f64 (tan.f64 eps) 2)
(*.f64 (*.f64 (tan.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(pow.f64 (tan.f64 eps) 2)
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 (tan.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 (tan.f64 eps) (cos.f64 eps)))
(sqrt.f64 (pow.f64 (tan.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))
(pow.f64 (tan.f64 eps) 2)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))
(pow.f64 (tan.f64 eps) 2)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (*.f64 2 (log.f64 (tan.f64 eps))))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 eps))) 1))
(pow.f64 (tan.f64 eps) 2)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓8.4b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite48.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
1122×add-sqr-sqrt
1110×*-un-lft-identity
1042×pow1
1026×add-cube-cbrt
1010×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112013
2147313
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))))

simplify38.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1474×distribute-rgt-in
1446×distribute-lft-in
1184×log-prod
740×associate-*r*
696×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038455
194455
2354455
31919455
Stop Event
1×node limit
Counts
35 → 14
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))
✓0.1b
(*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)))
0.2b
(pow.f64 (cos.f64 x) 2)
✓2.2b
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
Compiler

Compiled 78 to 39 computations (50% saved)

series6.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)))
1.0ms
x
@-inf
(*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)))
1.0ms
x
@inf
(*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)))
1.0ms
x
@-inf
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))
0.0ms
x
@inf
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))

rewrite111.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1664×associate-/l*
686×distribute-lft-in
642×associate-/l/
610×associate-/r/
348×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015107
133971
2468871
Stop Event
1×node limit
Counts
3 → 148
Calls
Call 1
Inputs
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (exp.f64 (log1p.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) 2))))) (#(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 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) (*.f64 1/4 (cos.f64 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (-.f64 1/16 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))) (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (+.f64 1/64 (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (*.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (/.f64 1 (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (/.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))) (/.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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 (pow.f64 (sin.f64 x) 2) 2) (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))))))

simplify165.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
896×associate-*r*
846×associate-*l*
714×associate-/l*
590×+-commutative
516×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04468158
112557642
267057642
Stop Event
1×node limit
Counts
196 → 263
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))) (pow.f64 (cos.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))))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x))))) (pow.f64 (cos.f64 x) 2))
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(+.f64 1/2 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1))
(+.f64 1/2 (*.f64 1 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1)))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1/2)
(+.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1) 1/2)
(+.f64 (-.f64 1/2 (exp.f64 (log1p.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))) 1)
(+.f64 (-.f64 1/2 (/.f64 (pow.f64 (cos.f64 x) 2) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (pow.f64 (cos.f64 x) -2))
(*.f64 (pow.f64 (cos.f64 x) -2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) (*.f64 1/4 (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)
(*.f64 (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (-.f64 1/16 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))) (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (+.f64 1/64 (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (*.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (sqrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (/.f64 1 (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (/.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))) (/.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)))))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (*.f64 1 (neg.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) (*.f64 (cos.f64 (+.f64 x x)) -1/2))) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/16 (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) 1/4)))
(/.f64 (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (*.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) (*.f64 (cos.f64 (+.f64 x x)) -1/2)) (*.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 3)) (*.f64 1 (+.f64 1/4 (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) (*.f64 (cos.f64 (+.f64 x x)) -1/2)) (*.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))))))
(/.f64 (-.f64 1/64 (pow.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) 3)) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1/16 (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4)) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))))))
(/.f64 (-.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8) 3)) (*.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (+.f64 1/64 (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8) (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (*.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) 1/3)
(pow.f64 (sin.f64 x) 2)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 2))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 eps (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 eps (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cos.f64 x) 2)) 1/2))))
(+.f64 (*.f64 (/.f64 eps 1) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 eps 1) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cos.f64 x) 2)) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) eps)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) eps))
(/.f64 (sqrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sqrt.f64 eps) (pow.f64 (sin.f64 x) 2))))
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (cbrt.f64 eps)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cbrt.f64 eps) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) eps))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps))))
(/.f64 (*.f64 eps (sqrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 eps (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4))
(/.f64 (*.f64 eps (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 eps (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) eps) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) eps)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sqrt.f64 eps) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps)) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))))
(+.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cos.f64 x) 2)) 1/2)))
(+.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 1 (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cos.f64 x) 2)) 1/2))))
(+.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (cos.f64 (+.f64 x x)) -1/2)))
(+.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (*.f64 (cos.f64 (+.f64 x x)) -1/2) 1)))
(+.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cos.f64 x) 2)) 1/2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (cos.f64 (+.f64 x x)) -1/2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (cos.f64 x) 2)) 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))) 1)
(*.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)) 1)
(*.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) (*.f64 1/4 (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (pow.f64 (cos.f64 x) -2)) (-.f64 1/16 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))) (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (pow.f64 (cos.f64 x) -2)) (+.f64 1/64 (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (*.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 2) (pow.f64 (cos.f64 x) 4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(+.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))))
(+.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)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 x)))))
(fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)))
(*.f64 eps (/.f64 (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)))
(*.f64 eps (/.f64 (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)))
(*.f64 eps (/.f64 (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2)))
(*.f64 eps (/.f64 (fma.f64 (cos.f64 (*.f64 x -2)) -1/2 1/2) (pow.f64 (cos.f64 x) 2)))
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(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2) (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 2) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 x -2)) 2))))
(/.f64 (pow.f64 (sin.f64 x) 4) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 x -2)) 2) -1/4)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8))) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4) (*.f64 1/4 (cos.f64 (+.f64 x x))))))
(*.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 x -2)) 2) 1/4 1/4) (*.f64 (cos.f64 (*.f64 x -2)) 1/4)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 x -2)) 3)))))
(*.f64 (+.f64 1/4 (*.f64 (cos.f64 (*.f64 x -2)) (-.f64 (*.f64 (cos.f64 (*.f64 x -2)) 1/4) 1/4))) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 1/8 (pow.f64 (cos.f64 (*.f64 x -2)) 3) 1/8)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) 2)
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (*.f64 x -2)) 1)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 2))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(*.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (pow.f64 (cos.f64 x) -2)) (-.f64 1/16 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))) (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1/4 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 x -2)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) -2) (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 x -2)) 3)))) (-.f64 1/16 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (*.f64 x -2))) (*.f64 1/2 (cos.f64 (*.f64 x -2)))) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) -2) (fma.f64 (pow.f64 (cos.f64 (*.f64 x -2)) 3) -1/8 1/8)) (/.f64 (+.f64 1/16 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 x -2)) 2) -1/4) (pow.f64 (cos.f64 x) 4))) (-.f64 1/4 (*.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 (*.f64 x -2)))))))
(*.f64 (/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) 1/8)) (pow.f64 (cos.f64 x) -2)) (+.f64 1/64 (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))) (*.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (+.f64 1/16 (*.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 x -2)) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 x -2)) (pow.f64 (cos.f64 x) 2))) 1/4))) (/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 x -2)) 3))) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 x -2)) (pow.f64 (cos.f64 x) 2))) 3)) (pow.f64 (cos.f64 x) -2))))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) -2) (fma.f64 (pow.f64 (cos.f64 (*.f64 x -2)) 3) -1/8 1/8)) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 (*.f64 x -2)))) 3)) (fma.f64 (*.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 (*.f64 x -2)))) (fma.f64 1/2 (*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 (*.f64 x -2))) -1/4) 1/16)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(pow.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 3)
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3) 1/3)
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 2) (pow.f64 (cos.f64 x) 4)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2)) 3))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))) 1))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 x)) (cos.f64 x)) 2)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓3.7b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 55 to 16 computations (70.9% saved)

series14.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
2.0ms
eps
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
1.0ms
x
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
1.0ms
eps
@0
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite141.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1410×associate-/r*
1094×associate-/l*
830×associate-/r/
312×add-sqr-sqrt
308×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013107
1291107
24194107
Stop Event
1×node limit
Counts
3 → 209
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 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((x fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))))))

simplify204.0ms (1%)

Algorithm
1×egg-herbie
Rules
1232×associate-*r*
996×associate-/l*
962×associate-*l*
732×*-commutative
658×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070024597
1210324415
Stop Event
1×node limit
Counts
281 → 364
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)))
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(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) (-.f64 1 (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) (-.f64 1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (+.f64 (tan.f64 x) (exp.f64 (log1p.f64 (tan.f64 eps)))) 1)
(-.f64 (+.f64 (tan.f64 eps) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.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))))
(/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (/.f64 1 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) 1) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(fma.f64 1 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.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 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 x x) (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) 1) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
(/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(+.f64 (tan.f64 x) (tan.f64 eps))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3))
(+.f64 (tan.f64 x) (tan.f64 eps))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(+.f64 (tan.f64 x) (tan.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
✓0.6b
(cbrt.f64 (sin.f64 x))
✓4.4b
(/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
✓15.6b
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
Compiler

Compiled 93 to 45 computations (51.6% saved)

series16.0ms (0.1%)

Counts
4 → 44
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
2.0ms
eps
@0
(/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
2.0ms
x
@-inf
(/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
2.0ms
x
@inf
(/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (sin.f64 x) 4))

rewrite88.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1608×associate-/l*
1536×associate-*r/
1236×associate-*l/
468×associate-/r/
302×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01570
130870
2381670
Stop Event
1×node limit
Counts
4 → 143
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(cbrt.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (sin.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (sqrt.f64 (/.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify113.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1342×associate-/r/
972×associate-*r*
638×associate-*l*
582×swap-sqr
546×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03235311
18045207
240355167
Stop Event
1×node limit
Counts
187 → 182
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 1/6))
(*.f64 (pow.f64 (sin.f64 x) 1/6) (*.f64 (pow.f64 (sin.f64 x) 1/6) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
Outputs
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/3) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 1)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 8))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 8))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8))))
(pow.f64 (sin.f64 x) 4/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 2)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) 3)
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(exp.f64 (*.f64 (*.f64 4 (log.f64 (sin.f64 x))) 1/3))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) 1))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(cbrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 4)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))))) 1)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))) 1)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (sqrt.f64 (/.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))) 2)))
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(*.f64 (/.f64 (*.f64 (/.f64 eps (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 eps (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 eps (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 eps (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (/.f64 eps (sqrt.f64 (cos.f64 x))))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (*.f64 (/.f64 (/.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2)) 1) (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2)) (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))
(/.f64 (*.f64 eps (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2))
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 eps (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2) (cbrt.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (/.f64 eps (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2)))
(*.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2)) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (/.f64 eps (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (/.f64 eps (*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))) 1)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))) 3)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 eps (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) -1)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(neg.f64 (*.f64 (/.f64 eps (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 eps (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) 2))
(fabs.f64 (*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x))) 3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (/.f64 eps (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 eps (cos.f64 x)))
(*.f64 eps (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 x)))) 1)
(cbrt.f64 (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) 1)
(cbrt.f64 (sin.f64 x))
(*.f64 1 (cbrt.f64 (sin.f64 x)))
(cbrt.f64 (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 1/6) (pow.f64 (sin.f64 x) 1/6))
(cbrt.f64 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(cbrt.f64 (sin.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2))
(cbrt.f64 (sin.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 x)))
(cbrt.f64 (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (sin.f64 x)) 1)
(cbrt.f64 (sin.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1/2)
(cbrt.f64 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) 1/6) 2)
(cbrt.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 3)
(cbrt.f64 (sin.f64 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(cbrt.f64 (sin.f64 x))
(fabs.f64 (cbrt.f64 (sin.f64 x)))
(cbrt.f64 (sin.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 x))))
(cbrt.f64 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 x)))))
(cbrt.f64 (sin.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 x))))
(cbrt.f64 (sin.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 x))))
(cbrt.f64 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1/3))
(cbrt.f64 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 1))
(cbrt.f64 (sin.f64 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 x))))
(cbrt.f64 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 1/6))
(*.f64 (pow.f64 (sin.f64 x) 1/6) (sqrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 1/6) (*.f64 (pow.f64 (sin.f64 x) 1/6) (cbrt.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 8)))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(cbrt.f64 (pow.f64 (sin.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 1))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (cbrt.f64 (sin.f64 x)) 2)

eval613.0ms (3%)

Compiler

Compiled 40144 to 18101 computations (54.9% saved)

prune475.0ms (2.3%)

Pruning

61 alts after pruning (56 fresh and 5 done)

PrunedKeptTotal
New1218171235
Fresh133952
Picked011
Done347
Total1234611295
Error
0.0b
Counts
1295 → 61
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.0b
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
33.9b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
20.1b
(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)))
34.0b
(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 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
20.8b
(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)
38.0b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
20.2b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
20.3b
(/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
33.8b
(/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
33.3b
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
26.0b
(/.f64 (sin.f64 eps) (cos.f64 eps))
20.1b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
37.6b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
20.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
20.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
✓20.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶37.2b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
▶21.7b
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
27.5b
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
46.9b
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
45.0b
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
44.9b
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
20.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
48.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
27.5b
(-.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))
✓41.2b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
48.0b
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
41.6b
(-.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
34.0b
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.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 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 4)) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))
47.8b
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
33.6b
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
33.5b
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
33.5b
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
✓33.5b
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
33.5b
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
33.5b
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
33.7b
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
33.5b
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
46.0b
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
43.6b
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
▶46.0b
(+.f64 eps (*.f64 x (*.f64 x eps)))
46.2b
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
33.5b
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
42.8b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
33.5b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
43.2b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
33.6b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
42.8b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
✓46.1b
(+.f64 eps (*.f64 eps (*.f64 x x)))
38.0b
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
▶42.9b
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
44.8b
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
33.5b
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))
21.6b
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))
28.2b
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
48.9b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
29.9b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
Compiler

Compiled 2554 to 1656 computations (35.2% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
✓3.7b
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
Compiler

Compiled 85 to 30 computations (64.7% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
1.0ms
x
@inf
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
1.0ms
x
@-inf
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
1.0ms
eps
@-inf
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
1.0ms
eps
@0
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1472×associate-/r*
958×associate-/l*
400×add-sqr-sqrt
390×*-un-lft-identity
388×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018100
138896
2520796
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
Outputs
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simplify157.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1622×associate-/r*
1546×associate-*r/
1438×associate-*l/
636×+-commutative
464×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032911570
190311348
2422911348
Stop Event
1×node limit
Counts
134 → 172
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)))
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(-.f64 0 (-.f64 (tan.f64 x) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))))
(-.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) (-.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))))
(-.f64 (+.f64 0 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) (tan.f64 x))
(-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) 1) 0) (tan.f64 x))
(-.f64 (+.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) 1) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) 0) (tan.f64 x))
(-.f64 (-.f64 (+.f64 0 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) 0) (tan.f64 x))
(*.f64 1 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))
(*.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)) 1)
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) (sqrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 2) (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(/.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)) 1)
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) (pow.f64 (tan.f64 x) 2)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) (pow.f64 (tan.f64 x) 2)) 1) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))) (sqrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)))) (pow.f64 (tan.f64 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 2)) (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(exp.f64 (log.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))
(+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 0)
(+.f64 0 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1) 1)
(-.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)
(-.f64 0 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(-.f64 (/.f64 -1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (+.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) 2)
(-.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) (+.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) 1))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))
(*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))
(*.f64 (pow.f64 (tan.f64 x) 2) (neg.f64 (pow.f64 (tan.f64 eps) 2)))
(*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))
(*.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (tan.f64 eps))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
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 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
(+.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 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.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 (/.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)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
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(log.f64 (exp.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x)) 3))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(exp.f64 (log.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))) 1))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (tan.f64 x))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 0)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(+.f64 0 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1) 1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(-.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(-.f64 0 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(-.f64 (/.f64 -1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) -1)) (+.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) 1))
(-.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(+.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 -1 (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) 2)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(-.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) (+.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) 1))
(-.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) (+.f64 1 (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))))))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))))) -1)
(+.f64 -1 (-.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))) (/.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))))))
(*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))))
(*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (pow.f64 (tan.f64 x) 2) (neg.f64 (pow.f64 (tan.f64 eps) 2)))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (tan.f64 eps))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps)))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))
(fabs.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(neg.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 5 computations (73.7% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
1146×add-sqr-sqrt
1136×*-un-lft-identity
1068×pow1
1048×add-cube-cbrt
1028×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
111913
2144113
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (*.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x eps))))))))

simplify45.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1654×distribute-rgt-in
1626×distribute-lft-in
1322×log-prod
820×associate-+r+
808×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035455
188455
2339455
32029455
Stop Event
1×node limit
Counts
35 → 13
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1)
(pow.f64 (*.f64 x (*.f64 x eps)) 1)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x eps)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x eps))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x eps))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x eps))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x eps)) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(*.f64 eps (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x eps))) 3)
(*.f64 eps (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3) 1/3)
(*.f64 eps (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 2))
(*.f64 eps (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x eps)))
(*.f64 eps (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3))
(*.f64 eps (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x eps))))
(*.f64 eps (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x eps))))
(*.f64 eps (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x eps))))
(*.f64 eps (*.f64 x x))

localize38.0ms (0.2%)

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)

series1.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite110.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1286×associate-*r/
1066×*-commutative
1046×associate-*l/
816×associate-/r*
632×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
121520
2293420
Stop Event
1×node limit
Counts
2 → 162
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 (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 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (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 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.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 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.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 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 1 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.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 (/.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 (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(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 (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 *.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.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 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 eps)) 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 (/.f64 1 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (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)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (+.f64 (neg.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 +.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 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (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 (cbrt.f64 (tan.f64 x))) 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(tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) (/.f64 1 (tan.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) 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(tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))))

simplify127.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1086×+-commutative
1026×associate-+l-
878×associate-+r-
594×fma-def
590×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04338420
112218066
257958066
Stop Event
1×node limit
Counts
190 → 258
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)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(*.f64 (tan.f64 eps) 1)
(*.f64 1 (tan.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) 1))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.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 (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.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 (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(pow.f64 (tan.f64 eps) 1)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(+.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.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)))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (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))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) 1))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) 1))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) 1))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (tan.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (tan.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 eps) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)
(*.f64 1 (-.f64 (tan.f64 eps) (tan.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x))))
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(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))) (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x))) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 x)))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps)))) (/.f64 (cos.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
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(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))) (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))))))
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) (/.f64 (cos.f64 x) (tan.f64 eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))) (-.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3))) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 1 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps)))) (/.f64 (cos.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) 1) (-.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) 1) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) 1) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) 1) (/.f64 (cos.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) 1) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) (/.f64 1 (tan.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) (neg.f64 (cos.f64 eps))) (cos.f64 x))
(pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
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(/.f64 (fma.f64 (cos.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 4) (pow.f64 (tan.f64 x) 4)) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 eps) 2)) (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (+.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (+.f64 (pow.f64 (tan.f64 eps) 4) (pow.f64 (tan.f64 x) 4)) (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 6) (pow.f64 (tan.f64 x) 6)) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2) (+.f64 (pow.f64 (tan.f64 eps) 4) (pow.f64 (tan.f64 x) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 6) (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 6) (pow.f64 (tan.f64 x) 6)) (*.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 eps) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)) (+.f64 (pow.f64 (tan.f64 eps) 6) (fma.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) (/.f64 1 (tan.f64 eps))) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) (cos.f64 x)) (tan.f64 eps))
(*.f64 (tan.f64 eps) (/.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) (neg.f64 (cos.f64 eps))) (cos.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)
(-.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)
(-.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 3)
(-.f64 (tan.f64 eps) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3) 1/3)
(-.f64 (tan.f64 eps) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3))
(-.f64 (tan.f64 eps) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
✓2.2b
(exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
✓4.5b
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
✓14.1b
(log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
Compiler

Compiled 64 to 26 computations (59.4% saved)

series126.0ms (0.6%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
68.0ms
x
@inf
(log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
17.0ms
eps
@-inf
(log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
16.0ms
x
@-inf
(log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
16.0ms
eps
@0
(log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
6.0ms
eps
@inf
(log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))

rewrite103.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1030×*-commutative
814×associate-*r/
766×unswap-sqr
628×swap-sqr
614×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01366
125366
2290866
Stop Event
1×node limit
Counts
4 → 333
Calls
Call 1
Inputs
(log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (tan.f64 x)) (+.f64 (log.f64 (tan.f64 x)) (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (tan.f64 x))) (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 eps) (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (*.f64 eps eps)))) (log.f64 (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 eps) 2)) (+.f64 (log.f64 (cbrt.f64 eps)) (*.f64 2 (log.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (*.f64 eps 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egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))))

simplify224.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1192×associate-/l*
912×*-commutative
888×associate-*r*
850×associate-*l*
662×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074914159
1201913425
2796013425
Stop Event
1×node limit
Counts
417 → 402
Calls
Call 1
Inputs
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 eps) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 eps) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 2)) eps)))
(+.f64 (log.f64 eps) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) 2) (pow.f64 eps 2))) (*.f64 24 (/.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) eps))) (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 2)) eps))))
(+.f64 (log.f64 eps) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 -720 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 eps 2))) (+.f64 (*.f64 240 (/.f64 (pow.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) 3) (pow.f64 eps 3))) (*.f64 720 (/.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))) (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))))))) eps)))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) 2) (pow.f64 eps 2))) (*.f64 24 (/.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) eps))) (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 2)) eps)))))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(log.f64 (/.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 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))
(*.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))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
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(/.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) 1) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 1 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (pow.f64 (/.f64 1 (cos.f64 x)) 2)) 2)
(/.f64 (/.f64 (tan.f64 x) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 x))) (cbrt.f64 (/.f64 1 (tan.f64 x))))) (cbrt.f64 (/.f64 1 (tan.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 (sqrt.f64 (cos.f64 x)) 1)) (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (tan.f64 x) (/.f64 1 (sqrt.f64 (tan.f64 x)))) (/.f64 1 (sqrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (tan.f64 x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (pow.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (cos.f64 x))) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) 1) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) 1) (neg.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x))))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) -1) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 -1 (tan.f64 x))) (tan.f64 x)))
(neg.f64 (*.f64 (tan.f64 x) (/.f64 1 (/.f64 -1 (tan.f64 x)))))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
Outputs
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (log.f64 (/.f64 1 eps))))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (neg.f64 (log.f64 (/.f64 -1 eps))))
(-.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (log.f64 (/.f64 -1 eps)))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (neg.f64 (log.f64 (/.f64 -1 eps))))
(-.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (log.f64 (/.f64 -1 eps)))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (neg.f64 (log.f64 (/.f64 -1 eps))))
(-.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (log.f64 (/.f64 -1 eps)))
(+.f64 (log.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 -1 eps))))
(+.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (neg.f64 (log.f64 (/.f64 -1 eps))))
(-.f64 (log.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (log.f64 (/.f64 -1 eps)))
(+.f64 (log.f64 eps) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 eps))
(+.f64 (log.f64 eps) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 2)) eps)))
(+.f64 (log.f64 eps) (fma.f64 2 (log.f64 x) (/.f64 (*.f64 eps 2/3) (/.f64 eps (*.f64 x x)))))
(+.f64 (log.f64 eps) (fma.f64 2 (log.f64 x) (*.f64 (/.f64 (*.f64 eps 2/3) eps) (*.f64 x x))))
(+.f64 (log.f64 eps) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) 2) (pow.f64 eps 2))) (*.f64 24 (/.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) eps))) (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 2)) eps))))
(+.f64 (log.f64 eps) (fma.f64 1/24 (*.f64 (fma.f64 -12 (/.f64 (pow.f64 (*.f64 eps 2/3) 2) (*.f64 eps eps)) (*.f64 24 (/.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) eps))) (pow.f64 x 4)) (fma.f64 2 (log.f64 x) (/.f64 (*.f64 eps 2/3) (/.f64 eps (*.f64 x x))))))
(+.f64 (log.f64 eps) (fma.f64 (*.f64 1/24 (fma.f64 -12 (/.f64 (*.f64 (*.f64 eps eps) 4/9) (*.f64 eps eps)) (/.f64 (*.f64 24 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3))) eps))) (pow.f64 x 4) (fma.f64 2 (log.f64 x) (*.f64 (/.f64 (*.f64 eps 2/3) eps) (*.f64 x x)))))
(+.f64 (log.f64 eps) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 -720 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 eps 2))) (+.f64 (*.f64 240 (/.f64 (pow.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) 3) (pow.f64 eps 3))) (*.f64 720 (/.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))) (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))))))) eps)))) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -12 (/.f64 (pow.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) 2) (pow.f64 eps 2))) (*.f64 24 (/.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) eps))) (pow.f64 x 4))) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 2)) eps)))))
(+.f64 (log.f64 eps) (fma.f64 1/720 (*.f64 (fma.f64 -720 (/.f64 (*.f64 eps 2/3) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))))) (fma.f64 240 (/.f64 (pow.f64 (*.f64 eps 2/3) 3) (pow.f64 eps 3)) (*.f64 720 (/.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 1/3 (*.f64 eps 2/3) (neg.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))))))) eps)))) (pow.f64 x 6)) (fma.f64 1/24 (*.f64 (fma.f64 -12 (/.f64 (pow.f64 (*.f64 eps 2/3) 2) (*.f64 eps eps)) (*.f64 24 (/.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) eps))) (pow.f64 x 4)) (fma.f64 2 (log.f64 x) (/.f64 (*.f64 eps 2/3) (/.f64 eps (*.f64 x x)))))))
(+.f64 (log.f64 eps) (fma.f64 1/720 (*.f64 (fma.f64 -720 (*.f64 (/.f64 (*.f64 eps 2/3) (*.f64 eps eps)) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3))) (fma.f64 720 (/.f64 (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) eps) (*.f64 240 (/.f64 (*.f64 (pow.f64 eps 3) 8/27) (pow.f64 eps 3))))) (pow.f64 x 6)) (fma.f64 (*.f64 1/24 (fma.f64 -12 (/.f64 (*.f64 (*.f64 eps eps) 4/9) (*.f64 eps eps)) (/.f64 (*.f64 24 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3))) eps))) (pow.f64 x 4) (fma.f64 2 (log.f64 x) (*.f64 (/.f64 (*.f64 eps 2/3) eps) (*.f64 x x))))))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(log.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (log.f64 eps) (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(log.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
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(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(pow.f64 (tan.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.3b
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
✓2.1b
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
✓5.5b
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 72 to 18 computations (75% saved)

series8.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
0.0ms
eps
@0
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
x
@0
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
0.0ms
eps
@inf
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
x
@inf
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite118.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1418×associate-/r*
1098×associate-/l*
834×associate-/r/
332×add-sqr-sqrt
328×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01585
132785
2442185
Stop Event
1×node limit
Counts
3 → 179
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1) (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1) (+.f64 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))))))

simplify133.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
776×associate-*r*
736×fma-def
564×associate-*l*
552×+-commutative
550×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060517721
1176017037
Stop Event
1×node limit
Counts
251 → 313
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (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)))
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) x)) 1)
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(-.f64 (+.f64 (tan.f64 x) (exp.f64 (log1p.f64 (tan.f64 eps)))) 1)
(-.f64 (+.f64 (tan.f64 eps) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.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))))
(/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) 1) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(fma.f64 1 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(+.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 0)
(+.f64 1 (+.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1))
(+.f64 1 (-.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(+.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(+.f64 -1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(-.f64 (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(*.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(*.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1) (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1) (+.f64 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))))
(pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.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 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
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(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (cos.f64 x)) (cos.f64 eps))
(/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(+.f64 (tan.f64 x) (tan.f64 eps))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))
(fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3))
(+.f64 (tan.f64 x) (tan.f64 eps))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 eps) (tan.f64 x))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
(+.f64 (tan.f64 x) (tan.f64 eps))
(+.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 0)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 1 (+.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 1 (-.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 -1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(-.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1) (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (expm1.f64 (*.f64 2 (+.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1) (+.f64 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (*.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) -1) (fma.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 1 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (*.f64 2 (+.f64 (tan.f64 x) (tan.f64 eps)))))))
(pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(fabs.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (exp.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))

eval615.0ms (3%)

Compiler

Compiled 41744 to 17169 computations (58.9% saved)

prune550.0ms (2.7%)

Pruning

52 alts after pruning (47 fresh and 5 done)

PrunedKeptTotal
New1372141386
Fresh183351
Picked011
Done549
Total1395521447
Error
0.0b
Counts
1447 → 52
Alt Table
Click to see full alt table
StatusErrorProgram
✓20.0b
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
33.9b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
20.1b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
20.1b
(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)))
20.8b
(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)
20.2b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
20.3b
(/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
33.8b
(/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
33.3b
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
26.0b
(/.f64 (sin.f64 eps) (cos.f64 eps))
59.1b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
20.1b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
20.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
20.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
✓20.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
✓21.7b
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
27.5b
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.2b
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
20.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.0b
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
37.2b
(-.f64 (tan.f64 eps) (tan.f64 x))
48.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
48.3b
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
27.5b
(-.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))
48.0b
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
41.6b
(-.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
54.5b
(-.f64 eps (tan.f64 x))
34.0b
(+.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) 5) (pow.f64 (cos.f64 x) 5))) (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
47.8b
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
33.6b
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
33.5b
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
33.5b
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
33.5b
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
33.5b
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
45.9b
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
43.6b
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
33.5b
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
33.5b
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
✓46.0b
(+.f64 eps (*.f64 x (*.f64 x eps)))
33.5b
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
43.2b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
33.6b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
42.8b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
✓46.1b
(+.f64 eps (*.f64 eps (*.f64 x x)))
42.9b
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
33.5b
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))
21.6b
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))
28.2b
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
48.6b
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
29.9b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
Compiler

Compiled 1128 to 712 computations (36.9% saved)

regimes851.0ms (4.1%)

Counts
119 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(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 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3) (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.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 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 4)) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (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) 5) (pow.f64 (cos.f64 x) 5))) (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (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 (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (/.f64 (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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

411.0ms
x
232.0ms
eps
152.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.9b4x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2735 to 1281 computations (53.2% saved)

bsearch111.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
1.9862628688216737e-9
67.94240398044897
65.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
56.0ms170×body256valid
32.0ms87×body1024valid
11.0ms41×body512valid
4.0ms6×body2048valid
Compiler

Compiled 1815 to 1110 computations (38.8% saved)

regimes552.0ms (2.7%)

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

3 calls:

244.0ms
x
148.0ms
eps
89.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.9b4x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1934 to 776 computations (59.9% saved)

bsearch77.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
1.9862628688216737e-9
67.94240398044897
32.0ms
-0.11111219388537376
-8.122637938657763e-5
Results
28.0ms75×body1024valid
26.0ms163×body256valid
12.0ms44×body512valid
4.0ms6×body2048valid
Compiler

Compiled 1236 to 800 computations (35.3% saved)

regimes869.0ms (4.2%)

Counts
111 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(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 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))
Outputs
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

345.0ms
x
129.0ms
eps
75.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.9b4x
0.3b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1890 to 753 computations (60.2% saved)

bsearch71.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
1.9862628688216737e-9
67.94240398044897
36.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
25.0ms73×body1024valid
24.0ms185×body256valid
13.0ms42×body512valid
2.0ms4×body2048valid
Compiler

Compiled 1169 to 730 computations (37.6% saved)

regimes634.0ms (3.1%)

Counts
104 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

293.0ms
x
206.0ms
eps
98.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.9b4x
0.3b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1647 to 651 computations (60.5% saved)

bsearch103.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
1.9862628688216737e-9
67.94240398044897
60.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
56.0ms71×body1024valid
25.0ms183×body256valid
10.0ms41×body512valid
5.0ms9×body2048valid
Compiler

Compiled 979 to 616 computations (37.1% saved)

regimes435.0ms (2.1%)

Counts
99 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

201.0ms
x
121.0ms
eps
80.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.9b4x
0.3b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1507 to 608 computations (59.7% saved)

bsearch79.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
41.0ms
1.9862628688216737e-9
67.94240398044897
37.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
33.0ms85×body1024valid
22.0ms170×body256valid
10.0ms14×body2048valid
9.0ms35×body512valid
Compiler

Compiled 925 to 598 computations (35.4% saved)

regimes345.0ms (1.7%)

Counts
85 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

162.0ms
x
97.0ms
eps
61.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.0b4x
0.4b3eps
9.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1132 to 480 computations (57.6% saved)

bsearch63.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.7784100367678644e-10
1.9862628688216737e-9
36.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
25.0ms67×body1024valid
20.0ms145×body256valid
10.0ms22×body512valid
4.0ms6×body2048valid
Compiler

Compiled 497 to 328 computations (34% saved)

regimes311.0ms (1.5%)

Counts
72 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(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)))
Calls

3 calls:

128.0ms
x
81.0ms
eps
58.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.0b4x
0.4b3eps
9.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 894 to 398 computations (55.5% saved)

bsearch84.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
2.7784100367678644e-10
1.9862628688216737e-9
35.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
53.0ms75×body1024valid
19.0ms140×body256valid
5.0ms19×body512valid
4.0ms6×body2048valid
Compiler

Compiled 503 to 334 computations (33.6% saved)

regimes317.0ms (1.5%)

Counts
71 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) 1))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(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)))
Calls

3 calls:

133.0ms
x
84.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
82.0ms
eps
Results
ErrorSegmentsBranch
11.0b4x
0.4b3eps
9.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 875 to 392 computations (55.2% saved)

bsearch57.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
2.7784100367678644e-10
1.9862628688216737e-9
36.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
23.0ms151×body256valid
22.0ms63×body1024valid
5.0ms22×body512valid
2.0ms4×body2048valid
Compiler

Compiled 476 to 307 computations (35.5% saved)

regimes282.0ms (1.4%)

Counts
69 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.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)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

135.0ms
x
82.0ms
eps
48.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.0b4x
0.4b3eps
9.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 838 to 378 computations (54.9% saved)

bsearch57.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
2.7784100367678644e-10
1.9862628688216737e-9
35.0ms
-8.122637938657763e-5
-1.9631293931085032e-11
Results
20.0ms59×body1024valid
18.0ms133×body256valid
9.0ms16×body2048valid
8.0ms32×body512valid
Compiler

Compiled 464 to 295 computations (36.4% saved)

regimes185.0ms (0.9%)

Counts
63 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 eps (*.f64 (*.f64 eps (tan.f64 x)) (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) 1)) (tan.f64 x))
(-.f64 (-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 2) 2) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 x x)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (/.f64 1 (pow.f64 (cos.f64 x) -2)))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x)))
(+.f64 eps (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) eps)) (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) eps) (pow.f64 (cos.f64 x) -2)) 2))
(+.f64 eps (/.f64 (*.f64 eps (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 2) 1/4))) (pow.f64 (cos.f64 x) 4)))
(-.f64 (expm1.f64 (log1p.f64 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(*.f64 (/.f64 eps (cos.f64 x)) (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(-.f64 (tan.f64 eps) (tan.f64 x))
Calls

3 calls:

67.0ms
eps
64.0ms
x
39.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
18.2b3x
15.9b3eps
17.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 730 to 339 computations (53.6% saved)

bsearch60.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
1.9862628688216737e-9
67.94240398044897
26.0ms
-0.11111219388537376
-8.122637938657763e-5
Results
22.0ms177×body256valid
22.0ms66×body1024valid
9.0ms39×body512valid
3.0ms6×body2048valid
Compiler

Compiled 356 to 262 computations (26.4% saved)

regimes19.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

3 calls:

6.0ms
x
6.0ms
eps
4.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
26.0b1x
26.0b1eps
26.0b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 112 to 61 computations (45.5% saved)

regimes37.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
(+.f64 eps (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (-.f64 1 (*.f64 x x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
Outputs
(-.f64 (tan.f64 eps) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(-.f64 (tan.f64 eps) (tan.f64 x))
Calls

2 calls:

22.0ms
x
13.0ms
eps
Results
ErrorSegmentsBranch
32.3b5x
25.4b3eps
Compiler

Compiled 85 to 45 computations (47.1% saved)

bsearch64.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
1.9862628688216737e-9
67.94240398044897
28.0ms
-0.11111219388537376
-8.122637938657763e-5
Results
26.0ms79×body1024valid
23.0ms176×body256valid
6.0ms11×body2048valid
5.0ms22×body512valid
Compiler

Compiled 464 to 352 computations (24.1% saved)

regimes11.0ms (0.1%)

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

2 calls:

4.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
42.8b1x
42.8b1eps
Compiler

Compiled 80 to 43 computations (46.3% saved)

regimes9.0ms (0%)

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

2 calls:

4.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
45.9b1x
45.9b1eps
Compiler

Compiled 48 to 24 computations (50% saved)

regimes8.0ms (0%)

Accuracy

Total -0.3b remaining (-0.7%)

Threshold costs -0.3b (-0.7%)

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

2 calls:

4.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
46.0b1x
46.0b1eps
Compiler

Compiled 33 to 17 computations (48.5% saved)

simplify146.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
464×*-commutative
448×distribute-lft-neg-in
298×+-commutative
230×neg-sub0
228×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01682146
12532134
23252134
33962134
44922134
56192134
67842134
79782134
811092134
911832134
1012192134
1112562134
1212972134
1313332134
1413782134
1514242134
1614682134
1715022134
1815202134
1915242134
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -2176715800697727/73786976294838206464) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 9002011107970261/295147905179352825856) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -48999163945791/144115188075855872) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 7194230188746725/18446744073709551616) (/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -8878048987794933/37778931862957161709568) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 5289050460814003/18889465931478580854784) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -2597301565578305/4722366482869645213696) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 519460313115661/590295810358705651712) (/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -6611313076017503/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 3872340515953109/9444732965739290427392) (/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 2115620184325601/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -1450710983537555/604462909807314587353088) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (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)))))
(if (<=.f64 eps -7011769753764849/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (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)))))
(if (<=.f64 eps -891582791965789/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 4980620899901579/36893488147419103232) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -8854437155380585/18446744073709551616) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 5902958103587057/4722366482869645213696) (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1))) (-.f64 (tan.f64 eps) (tan.f64 x))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 eps (*.f64 x x)))
Outputs
(if (<=.f64 eps -2176715800697727/73786976294838206464) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 9002011107970261/295147905179352825856) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -48999163945791/144115188075855872) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 7194230188746725/18446744073709551616) (/.f64 (/.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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -48999163945791/144115188075855872) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 7194230188746725/18446744073709551616) (/.f64 (/.f64 (+.f64 (*.f64 eps (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) 1/3) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -48999163945791/144115188075855872) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 7194230188746725/18446744073709551616) (/.f64 (/.f64 (+.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) 1/3) (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -8878048987794933/37778931862957161709568) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 5289050460814003/18889465931478580854784) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -8878048987794933/37778931862957161709568) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 5289050460814003/18889465931478580854784) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -8878048987794933/37778931862957161709568) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 5289050460814003/18889465931478580854784) (+.f64 (*.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 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -2597301565578305/4722366482869645213696) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 519460313115661/590295810358705651712) (/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -2597301565578305/4722366482869645213696) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 519460313115661/590295810358705651712) (/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -2597301565578305/4722366482869645213696) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 519460313115661/590295810358705651712) (/.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -6611313076017503/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 3872340515953109/9444732965739290427392) (/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -6611313076017503/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 3872340515953109/9444732965739290427392) (/.f64 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -6611313076017503/9444732965739290427392) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 3872340515953109/9444732965739290427392) (/.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 2115620184325601/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 2115620184325601/1208925819614629174706176) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -1450710983537555/604462909807314587353088) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (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)))))
(if (<=.f64 eps -1450710983537555/604462909807314587353088) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -7011769753764849/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (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)))))
(if (<=.f64 eps -7011769753764849/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -891582791965789/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/1208925819614629174706176) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (or (<=.f64 eps -891582791965789/302231454903657293676544) (not (<=.f64 eps 2357405348248527/1208925819614629174706176))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 4980620899901579/36893488147419103232) (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (tan.f64 eps) (tan.f64 x))))
(if (<=.f64 eps -6050532056176733/73786976294838206464) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 4980620899901579/36893488147419103232) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (-.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -8854437155380585/18446744073709551616) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 5902958103587057/4722366482869645213696) (+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1))) (-.f64 (tan.f64 eps) (tan.f64 x))))
(if (or (<=.f64 eps -8854437155380585/18446744073709551616) (not (<=.f64 eps 5902958103587057/4722366482869645213696))) (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 eps (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) 1)))
(+.f64 eps (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1))
(+.f64 eps (+.f64 (+.f64 1 (*.f64 x (*.f64 eps x))) -1))
(+.f64 eps (+.f64 -1 (+.f64 1 (*.f64 x (*.f64 eps x)))))
(+.f64 eps (*.f64 x (*.f64 x eps)))
(+.f64 eps (*.f64 x (*.f64 eps x)))
(+.f64 eps (*.f64 eps (*.f64 x x)))
Compiler

Compiled 741 to 410 computations (44.7% saved)

soundness358.0ms (1.7%)

Algorithm
5×egg-herbie
Rules
1622×associate-/r*
1546×associate-*r/
1438×associate-*l/
1032×associate-+r-
1032×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054613904
1157013404
2730513404
054613904
1157013404
2730513404
032911570
190311348
2422911348
054613904
1157013404
2730513404
060517721
1176017037
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 653 to 332 computations (49.2% saved)

end195.0ms (0.9%)

Compiler

Compiled 711 to 310 computations (56.4% saved)

Profiling

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