Details

Time bar (total: 22.7s)

analyze422.0ms (1.9%)

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)

sample4.1s (18.1%)

Results
1.9s3563×body1024valid
1.3s1239×body2048valid
527.0ms1474×body512valid
384.0ms1980×body256valid
Bogosity

preprocess25.0ms (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)

simplify18.0ms (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
35.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓2.1b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓2.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite123.0ms (0.5%)

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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simplify166.0ms (0.7%)

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)) (+.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))

eval110.0ms (0.5%)

Compiler

Compiled 9436 to 3641 computations (61.4% saved)

prune89.0ms (0.4%)

Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New26339302
Fresh000
Picked011
Done000
Total26340303
Error
0.2b
Counts
303 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
50.2b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
▶47.9b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
22.7b
(/.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)))))
22.6b
(/.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))
35.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
51.0b
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
36.4b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
24.5b
(-.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))
25.4b
(-.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))
26.6b
(-.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))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
25.3b
(-.f64 (/.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))) (tan.f64 x))
23.6b
(-.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))
▶40.8b
(-.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))
35.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
35.7b
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
61.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
36.2b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
▶35.8b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
22.5b
(-.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))
22.5b
(-.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))
40.8b
(-.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))
▶22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
35.6b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
35.9b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
35.6b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
45.3b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
39.1b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
49.2b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
39.6b
(-.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)
29.6b
(+.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))))))))))))
29.3b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
29.4b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
▶35.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.4b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
38.9b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 1577 to 978 computations (38% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
✓0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓4.6b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Compiler

Compiled 68 to 24 computations (64.7% saved)

series21.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite125.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1226×associate-/r*
884×associate-/l*
762×associate-/r/
380×associate-+l+
340×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014108
1320108
24606108
Stop Event
1×node limit
Counts
4 → 259
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.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 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 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (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 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) 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simplify274.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1036×associate-*r*
792×associate-*l*
762×associate-/l*
714×*-commutative
686×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084025613
1238425145
Stop Event
1×node limit
Counts
355 → 474
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (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 -1 (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 -1 (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 1 (cbrt.f64 (pow.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 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.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 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(*.f64 (/.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 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 3))) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.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)) (+.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)))))
(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)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) (neg.f64 (+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3)) (pow.f64 x 3)) (*.f64 (neg.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 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (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 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.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 -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)))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (neg.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))
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(*.f64 (/.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 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 3))) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))))
(*.f64 (/.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 3))) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6))))
(/.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6)))))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) 2)
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))) -1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))) 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (-.f64 1 (*.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))))
2.6b
(tan.f64 (+.f64 x eps))
✓5.4b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 39 to 17 computations (56.4% saved)

series8.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 1 (tan.f64 (+.f64 x eps)))
1.0ms
eps
@0
(/.f64 1 (tan.f64 (+.f64 x eps)))
1.0ms
x
@0
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
1.0ms
x
@inf
(/.f64 1 (tan.f64 (+.f64 x eps)))
0.0ms
x
@-inf
(/.f64 1 (tan.f64 (+.f64 x eps)))

rewrite116.0ms (0.5%)

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)))))))))

simplify134.0ms (0.6%)

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)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.4b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
2.1b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
2.0ms
eps
@0
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
0.0ms
eps
@0
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
0.0ms
x
@0
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
0.0ms
x
@inf
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

rewrite88.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1330×associate-*r/
1110×*-commutative
1052×associate-*l/
682×distribute-lft-in
336×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
124446
2322546
Stop Event
1×node limit
Counts
2 → 156
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x 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 (+.f64 x 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 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1)) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1)) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) 1) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))))

simplify158.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
732×fma-def
686×associate-*r*
652×associate-/l*
574×+-commutative
536×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056515950
1167115194
Stop Event
1×node limit
Counts
204 → 281
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2))))))) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) (pow.f64 x 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
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(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))))
(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 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 0)
(+.f64 1 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) -1))
(+.f64 1 (-.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(+.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) -1)
(+.f64 -1 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2)
(*.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(*.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1)) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1)) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) 1) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x 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 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 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(+.f64 (fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 1/6 (/.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)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2))) (pow.f64 x 3) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 eps 4)) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
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(*.f64 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)))))
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(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (fma.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (neg.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 eps 4)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(fma.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (fma.f64 (fma.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (neg.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3) (fma.f64 (fma.f64 1/24 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))) (*.f64 -1 (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))) (pow.f64 eps 4) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))) (fma.f64 (pow.f64 eps 4) (fma.f64 1/24 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3)) (-.f64 (-.f64 (/.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)) (cos.f64 x)) (sin.f64 x))))) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (tan.f64 x)) (tan.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
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(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (tan.f64 x)) (tan.f64 x))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
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(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
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(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(/.f64 (fma.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) -1) (+.f64 2 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 1 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3) -1) (+.f64 (+.f64 2 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (exp.f64 (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)) (+.f64 2 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (exp.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1)) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(/.f64 (fma.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) -1) (+.f64 2 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 1 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1)) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3) -1) (+.f64 (+.f64 2 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (exp.f64 (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)) (+.f64 2 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (exp.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) 1) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(/.f64 (fma.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) -1) (+.f64 2 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 1 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3) -1) (+.f64 (+.f64 2 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (exp.f64 (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)) (+.f64 2 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (exp.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))
(pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3)
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2))
(fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.2b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
2.1b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series10.0ms (0%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
1.0ms
eps
@0
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms
x
@0
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)

rewrite104.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1522×associate-*r/
1370×associate-*l/
738×distribute-lft-in
352×associate-/r*
272×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
127146
2343946
Stop Event
1×node limit
Counts
2 → 176
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
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simplify219.0ms (1%)

Algorithm
1×egg-herbie
Rules
1272×associate-+l-
1266×associate-+r-
626×associate-/l*
588×associate-*r*
566×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053714854
1147614298
2659214298
Stop Event
1×node limit
Counts
216 → 287
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 -1 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.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 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (sin.f64 eps)) (cos.f64 eps))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (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 (/.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)))
(sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (pow.f64 x 2)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (pow.f64 x 2)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x 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 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x 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 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 1 (*.f64 (neg.f64 (tan.f64 x)) 1)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (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 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) 1) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x 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 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.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 (fma.f64 -1 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4)) (*.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 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (sin.f64 eps)) (cos.f64 eps))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4)) (*.f64 x x) (fma.f64 (fma.f64 -1 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))))) (*.f64 -1/2 (/.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 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 x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (pow.f64 x 2)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 x x))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (fma.f64 -1/2 (*.f64 (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (pow.f64 x 3) (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (/.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 x x))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
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(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (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 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.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))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.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))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (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 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) 1) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.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 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) 2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(/.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)))))
✓8.4b
(-.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))
Compiler

Compiled 91 to 22 computations (75.8% saved)

series13.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite144.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1564×associate-/r/
1080×associate-/l/
358×add-sqr-sqrt
352×pow1
352×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015193
1338137
24987137
Stop Event
1×node limit
Counts
3 → 233
Calls
Call 1
Inputs
(-.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 (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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
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simplify217.0ms (1%)

Algorithm
1×egg-herbie
Rules
1264×associate-*r*
1164×*-commutative
1060×associate-*l*
890×associate-/l*
754×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085031769
1281131601
Stop Event
1×node limit
Counts
305 → 423
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 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 (/.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)))))))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.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 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) 1)
(*.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 -1 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (/.f64 (sqrt.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 1 (/.f64 (sqrt.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 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.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))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2)) (-.f64 1 (*.f64 (+.f64 (*.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)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1/2)) (+.f64 1 (pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.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)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (-.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)))) 1) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (/.f64 (-.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)))) 1) (/.f64 (+.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 (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 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.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 (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 (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 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(*.f64 (/.f64 (-.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 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (-.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 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (-.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)))) (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 (/.f64 (-.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)))) (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))))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.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 (*.f64 x x) (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.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)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (+.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 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 (+.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 (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 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (/.f64 (-.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 (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 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.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) (*.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 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 (+.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 (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 (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 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 eps) (tan.f64 x))))
(*.f64 (/.f64 (-.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 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 eps) (cos.f64 x))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(*.f64 (/.f64 (-.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 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 eps) (cos.f64 x))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(*.f64 (/.f64 (-.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)))) (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 (/.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (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 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.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 (/.f64 (-.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)))) (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 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (sqrt.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)))))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1) (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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))))

eval1.1s (5%)

Compiler

Compiled 94843 to 37026 computations (61% saved)

prune1.0s (4.4%)

Pruning

60 alts after pruning (56 fresh and 4 done)

PrunedKeptTotal
New2608422650
Fresh201434
Picked101
Done145
Total2630602690
Error
0.1b
Counts
2690 → 60
Alt Table
Click to see full alt table
StatusErrorProgram
40.8b
(fma.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))) (neg.f64 (tan.f64 x)))
22.5b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
43.9b
(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)
42.3b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
43.7b
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
47.5b
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
▶23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
22.6b
(/.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))
25.3b
(/.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))))))
▶24.7b
(/.f64 (sin.f64 eps) (cos.f64 eps))
35.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
36.4b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.0b
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) 1)) (tan.f64 x))
35.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
36.2b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
36.2b
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
22.7b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓35.8b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.2b
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
39.4b
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 (+.f64 1 (*.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))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
23.6b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
27.4b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.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))))))) (tan.f64 x))
✓22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
51.3b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
▶36.4b
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
24.5b
(-.f64 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
34.3b
(-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶35.9b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
45.3b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
29.2b
(-.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))
39.1b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
39.6b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
22.6b
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
▶12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
29.6b
(+.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)))))))))
29.3b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
40.8b
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
29.4b
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
45.2b
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
43.9b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
47.4b
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
24.8b
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
36.3b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓35.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.1b
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
32.8b
(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)))))
32.0b
(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))))
47.4b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
29.5b
(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))))
26.4b
(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 2353 to 1470 computations (37.5% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 78 to 26 computations (66.7% saved)

series11.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
7.0ms
eps
@0
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
1.0ms
x
@0
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
eps
@0
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
x
@inf
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
0.0ms
x
@0
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))

rewrite121.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1198×associate-/r*
992×associate-/l*
724×distribute-rgt-in
676×distribute-lft-in
608×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01293
126293
2362293
Stop Event
1×node limit
Counts
3 → 221
Calls
Call 1
Inputs
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))

simplify229.0ms (1%)

Algorithm
1×egg-herbie
Rules
1012×associate-*r*
798×associate-*l*
766×associate-/l*
684×*-commutative
668×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068622709
1210722437
Stop Event
1×node limit
Counts
293 → 406
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (pow.f64 eps 4))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
x
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) x))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))) (+.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) 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) (*.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) (*.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) (*.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) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.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 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (*.f64 -2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) 1) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(expm1.f64 (log.f64 (-.f64 2 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (*.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 1/3 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) -1/3) (cos.f64 eps))) (neg.f64 (pow.f64 x 4))) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (fma.f64 -1 (*.f64 (pow.f64 x 5) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))))
(+.f64 (neg.f64 (+.f64 (*.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 1/3 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) -1/3) (cos.f64 eps))) (pow.f64 x 4)) (*.f64 (pow.f64 x 5) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 1/3 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) -1/3) (cos.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps))))))) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))))
(+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (/.f64 -1/3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (pow.f64 eps 3)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (pow.f64 eps 4))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (sin.f64 x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (pow.f64 eps 4)) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (/.f64 -1/3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) (pow.f64 eps 4)) (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (/.f64 -1/3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (pow.f64 eps 3))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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x
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1
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(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(expm1.f64 (log.f64 (-.f64 2 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(exp.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (sin.f64 eps) (cos.f64 eps))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite70.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1472×add-sqr-sqrt
1460×*-un-lft-identity
1352×add-cube-cbrt
1334×add-cbrt-cube
1320×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
11425
217915
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (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 (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 (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 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 (pow.f64 (tan.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))))

simplify62.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1118×associate-/r/
910×*-commutative
818×associate-*r*
800×fma-def
678×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097724
1238534
2862416
33407412
47504412
Stop Event
1×node limit
Counts
36 → 47
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 (+.f64 1 (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)) (/.f64 1 (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)) (/.f64 1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.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 (neg.f64 (cos.f64 eps))))
(*.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 (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 (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 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.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 (pow.f64 (tan.f64 eps) 3) 1/3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(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)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7)))))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 17/315 (pow.f64 eps 7) eps)))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (tan.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 1 (tan.f64 eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (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) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.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 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.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 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (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 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(pow.f64 (tan.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(log.f64 (exp.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(exp.f64 (log.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log1p.f64 (tan.f64 x))
✓0.2b
(expm1.f64 (log1p.f64 (tan.f64 x)))
✓2.6b
(tan.f64 (+.f64 eps x))
✓6.4b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
Compiler

Compiled 29 to 8 computations (72.4% saved)

series72.0ms (0.3%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
37.0ms
x
@-inf
(log1p.f64 (tan.f64 x))
33.0ms
x
@inf
(log1p.f64 (tan.f64 x))
0.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
0.0ms
x
@0
(log1p.f64 (tan.f64 x))
0.0ms
x
@0
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))

rewrite132.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1382×associate-*r/
1112×*-commutative
1066×associate-*l/
728×distribute-lft-in
336×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
124546
2323146
Stop Event
1×node limit
Counts
4 → 228
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(tan.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(log1p.f64 (tan.f64 x))
Outputs
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simplify224.0ms (1%)

Algorithm
1×egg-herbie
Rules
912×associate-*r*
722×associate-*l*
696×associate-/l*
692×distribute-lft-in
648×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067416212
1185015958
Stop Event
1×node limit
Counts
300 → 381
Calls
Call 1
Inputs
(*.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 (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 (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 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))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -7/12 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (+.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 (+.f64 eps x)) (+.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 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
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(+.f64 (-.f64 (tan.f64 (+.f64 eps 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 (+.f64 eps x)) (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 (+.f64 eps x)) (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 (+.f64 eps x)) (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 (+.f64 eps x)) (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))))
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(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps x)) (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 (+.f64 eps x)) (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 (+.f64 eps x)) (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 (+.f64 eps x)) (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps x)) (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 1 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x)))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps 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 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)) 1)
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)) (+.f64 1 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)) (+.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)) (+.f64 1 (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 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1))) 1)
(*.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(*.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (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 eps x))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 eps x)))) 1)
(*.f64 (tan.f64 (+.f64 eps x)) 1)
(*.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x))))
(*.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 eps x))) (sin.f64 (+.f64 eps x)))
(*.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 eps x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.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 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 (+.f64 eps x)))))
(/.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 eps x))) (cbrt.f64 (sin.f64 (+.f64 eps x)))) (/.f64 (cos.f64 (+.f64 eps x)) (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (pow.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (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 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.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 eps x))) (neg.f64 (cos.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 (neg.f64 (sin.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (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 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(/.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 eps x))) 1) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (tan.f64 (+.f64 eps x)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.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 eps x)) 1) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x))))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(pow.f64 (tan.f64 (+.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (tan.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))
(+.f64 (tan.f64 x) 0)
(+.f64 1 (+.f64 (tan.f64 x) -1))
(+.f64 1 (-.f64 (tan.f64 x) 1))
(+.f64 (+.f64 (tan.f64 x) 1) -1)
(+.f64 -1 (+.f64 (tan.f64 x) 1))
(-.f64 (+.f64 (tan.f64 x) 1) 1)
(-.f64 (+.f64 (tan.f64 x) 2) 2)
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) 1) (+.f64 (tan.f64 x) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) (+.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) 1)) (+.f64 (tan.f64 x) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 x) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) (+.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) 1) 1) (+.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) (+.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x)))) 1)
(*.f64 (log1p.f64 (tan.f64 x)) 1)
(*.f64 1 (log1p.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) (sqrt.f64 (log1p.f64 (tan.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2) (cbrt.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (log1p.f64 (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 2))
(log.f64 (+.f64 (tan.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 x))))
Outputs
(*.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 eps eps) (/.f64 (/.f64 (cos.f64 x) (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))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))))))
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x
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x
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) -1) (fma.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)) (+.f64 2 (tan.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 x)) 3)) (fma.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)) (+.f64 2 (tan.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) 1)) (+.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (+.f64 (+.f64 1 (tan.f64 x)) 1) (tan.f64 x)) (+.f64 2 (tan.f64 x)))
(/.f64 (+.f64 2 (tan.f64 x)) (/.f64 (+.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 x) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) (+.f64 (tan.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) -1) (fma.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)) (+.f64 2 (tan.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 x)) 3)) (fma.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)) (+.f64 2 (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) 1) 1) (+.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (+.f64 (+.f64 1 (tan.f64 x)) 1) (tan.f64 x)) (+.f64 2 (tan.f64 x)))
(/.f64 (+.f64 2 (tan.f64 x)) (/.f64 (+.f64 2 (tan.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 x) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (tan.f64 x) 1) (+.f64 (tan.f64 x) 1)) (+.f64 (tan.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) -1) (fma.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)) (+.f64 2 (tan.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 x)) 3)) (fma.f64 (+.f64 1 (tan.f64 x)) (+.f64 1 (tan.f64 x)) (+.f64 2 (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))))
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(tan.f64 x)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x)))) 1)
(log1p.f64 (tan.f64 x))
(*.f64 (log1p.f64 (tan.f64 x)) 1)
(log1p.f64 (tan.f64 x))
(*.f64 1 (log1p.f64 (tan.f64 x)))
(log1p.f64 (tan.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) (sqrt.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2))
(log1p.f64 (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2) (cbrt.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))
(pow.f64 (log1p.f64 (tan.f64 x)) 1)
(log1p.f64 (tan.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) 2)
(log1p.f64 (tan.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 3)
(log1p.f64 (tan.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3) 1/3)
(log1p.f64 (tan.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 2))
(log.f64 (+.f64 (tan.f64 x) 1))
(log.f64 (+.f64 1 (tan.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3))
(log1p.f64 (tan.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (sin.f64 eps) x)
✓0.1b
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
✓0.2b
(/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))
✓3.2b
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Compiler

Compiled 71 to 19 computations (73.2% saved)

series10.0ms (0%)

Counts
4 → 84
Calls

24 calls:

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

rewrite150.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1824×associate-/l*
510×associate-+l+
378×add-sqr-sqrt
374×pow1
374×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016136
1355106
25235106
Stop Event
1×node limit
Counts
4 → 258
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (sin.f64 eps) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)) (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 (fma.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (+.f64 1 (*.f64 x (tan.f64 eps))) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) x)))))))

simplify178.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1086×fma-def
844×associate-*r*
714×associate-*l*
696×associate-+l+
662×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069320982
1188116968
Stop Event
1×node limit
Counts
342 → 399
Calls
Call 1
Inputs
(*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 (+.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (sin.f64 x)) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 (+.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (sin.f64 x)) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/6 x) (*.f64 1/3 x)) (*.f64 -1/2 x)) (pow.f64 eps 4)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (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) (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 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (pow.f64 eps 3)))
(+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 x) (+.f64 (*.f64 1/24 x) (*.f64 -1/2 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)))))) (+.f64 (*.f64 eps x) (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (pow.f64 eps 3))))
(+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 x) (+.f64 (*.f64 1/24 x) (*.f64 -1/2 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)))))) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 x) (+.f64 (*.f64 -1/720 x) (+.f64 (*.f64 1/24 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x))) (*.f64 -1/2 (-.f64 (*.f64 1/120 x) (+.f64 (*.f64 1/24 x) (*.f64 -1/2 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x))))))))) (pow.f64 eps 7)) (+.f64 (*.f64 eps x) (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (pow.f64 eps 3)))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 (+.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (sin.f64 x)) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 eps 2) x))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.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 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) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.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 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(+.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)) (*.f64 (tan.f64 x) (*.f64 x (tan.f64 eps)))) (tan.f64 x))
(+.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)) (*.f64 (*.f64 x (tan.f64 eps)) (tan.f64 x))) (tan.f64 x))
(+.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (tan.f64 eps)) (*.f64 (tan.f64 eps) (*.f64 x (tan.f64 eps))))
(+.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (tan.f64 eps)) (*.f64 (*.f64 x (tan.f64 eps)) (tan.f64 eps)))
(+.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (*.f64 (tan.f64 eps) (*.f64 x (tan.f64 eps)))) (tan.f64 eps))
(+.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (*.f64 (*.f64 x (tan.f64 eps)) (tan.f64 eps))) (tan.f64 eps))
(+.f64 (+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 x (tan.f64 eps))) (tan.f64 x)) (tan.f64 eps))
(+.f64 (+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 x (tan.f64 eps))) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 (*.f64 (*.f64 x (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (tan.f64 eps))
(+.f64 (+.f64 (*.f64 (*.f64 x (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 eps)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 x (tan.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (*.f64 x (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (/.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 x (tan.f64 eps)))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (/.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 x (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 x (tan.f64 eps))) (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 x (tan.f64 eps))) (/.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 (*.f64 (*.f64 x (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 x (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.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 1 (*.f64 x (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (+.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 x (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps))))) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (+.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 (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)))) (+.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 1 (*.f64 x (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps))))) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))) (+.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 1 (*.f64 x (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 (+.f64 1 (*.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)))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2))) (-.f64 1 (*.f64 x (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 x (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (*.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 x (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x))) (*.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))) (-.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) 3) (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x))) (*.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))) (*.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x)) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))) (+.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) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps))))))
(pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 1 (*.f64 x (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (+.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (log1p.f64 (*.f64 x (tan.f64 eps)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (log1p.f64 (*.f64 x (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (+.f64 1 (*.f64 x (tan.f64 eps))) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) x))) 1)
(pow.f64 (*.f64 (sin.f64 eps) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) x)))
Outputs
(*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x))))
(*.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))))
(+.f64 eps (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))) (*.f64 x (*.f64 eps eps)))
(fma.f64 eps (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (*.f64 eps (*.f64 eps x)))
(+.f64 (*.f64 (+.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (sin.f64 x)) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 (+.f64 1/3 (/.f64 (*.f64 x 1/3) (/.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3) (fma.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))) (*.f64 x (*.f64 eps eps))))
(fma.f64 (+.f64 1/3 (*.f64 (/.f64 (*.f64 x 1/3) (cos.f64 x)) (sin.f64 x))) (pow.f64 eps 3) (fma.f64 eps (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (*.f64 eps (*.f64 eps x))))
(+.f64 (*.f64 (+.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 x) (*.f64 -1/2 x)) (sin.f64 x)) (cos.f64 x))) (pow.f64 eps 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/6 x) (*.f64 1/3 x)) (*.f64 -1/2 x)) (pow.f64 eps 4)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 (+.f64 1/3 (/.f64 (*.f64 x 1/3) (/.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3) (fma.f64 (+.f64 (*.f64 x 1/6) (*.f64 1/2 x)) (pow.f64 eps 4) (fma.f64 eps (+.f64 1 (/.f64 (*.f64 x (sin.f64 x)) (cos.f64 x))) (*.f64 x (*.f64 eps eps)))))
(fma.f64 (+.f64 1/3 (*.f64 (/.f64 (*.f64 x 1/3) (cos.f64 x)) (sin.f64 x))) (pow.f64 eps 3) (fma.f64 (*.f64 x 2/3) (pow.f64 eps 4) (fma.f64 eps (+.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (*.f64 eps (*.f64 eps x)))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 x (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)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 x (cos.f64 eps)) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
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(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (+.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 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (/.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 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 x (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (-.f64 1 (*.f64 x (tan.f64 eps)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 1 (*.f64 x (tan.f64 eps)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.f64 (-.f64 1 (*.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 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (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 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (*.f64 x (tan.f64 eps)) 2) (-.f64 1 (*.f64 x (tan.f64 eps))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (+.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 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (/.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 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2))))
(pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(fabs.f64 (*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 1 (*.f64 x (tan.f64 eps)))))
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(exp.f64 (+.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (log1p.f64 (*.f64 x (tan.f64 eps)))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x (tan.f64 eps))) (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 x (tan.f64 eps)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (log1p.f64 (*.f64 x (tan.f64 eps)))) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x (tan.f64 eps))) (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (exp.f64 (log1p.f64 (*.f64 x (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 x) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (+.f64 1 (*.f64 x (tan.f64 eps))) (*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (tan.f64 eps)))
(*.f64 (+.f64 1 (*.f64 x (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (fma.f64 x (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) x))) 1)
(*.f64 x (sin.f64 eps))
(pow.f64 (*.f64 (sin.f64 eps) x) 1)
(*.f64 x (sin.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) x)) 2)
(*.f64 x (sin.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) x)) 3)
(*.f64 x (sin.f64 eps))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 3) 1/3)
(*.f64 x (sin.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2))
(fabs.f64 (*.f64 x (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 eps)))
(*.f64 x (sin.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) x))))
(*.f64 x (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) x) 3))
(*.f64 x (sin.f64 eps))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3)))
(*.f64 x (sin.f64 eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 3)))
(*.f64 x (sin.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) x)))
(*.f64 x (sin.f64 eps))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) x)))
(*.f64 x (sin.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) x)) 1))
(*.f64 x (sin.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) x)))
(*.f64 x (sin.f64 eps))

localize85.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.4b
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
✓0.6b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
✓4.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 92 to 29 computations (68.5% saved)

series67.0ms (0.3%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
27.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
17.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
4.0ms
eps
@0
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
4.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
4.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)

rewrite158.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1418×associate-/r*
1094×associate-/l*
830×associate-/r/
354×add-sqr-sqrt
342×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016157
1357157
24706157
Stop Event
1×node limit
Counts
3 → 231
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))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
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simplify399.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1360×associate-+r-
850×associate-*r*
836×fma-def
616×associate-*l*
530×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056335075
1173934251
2773934251
Stop Event
1×node limit
Counts
295 → 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 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 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 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.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))))))))))
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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)) 1/6) 2)
(pow.f64 (cbrt.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)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(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))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (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 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (+.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 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (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))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.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)))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.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)))))
(+.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)))))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (*.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (*.f64 eps eps)))))
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(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
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(-.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 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 (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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 1)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 1 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/6) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/6))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 2))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)))
(*.f64 (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))) 1/3) (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))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 (cbrt.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))) (cbrt.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 (cbrt.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))) (cbrt.f64 (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 (cbrt.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))) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(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))) 1)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/3)
(cbrt.f64 (-.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)) 1/6) 2)
(cbrt.f64 (-.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2))
(fabs.f64 (cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(cbrt.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))) 1/3))
(cbrt.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 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))

eval1.1s (5%)

Compiler

Compiled 70184 to 27958 computations (60.2% saved)

prune799.0ms (3.5%)

Pruning

83 alts after pruning (75 fresh and 8 done)

PrunedKeptTotal
New1868381906
Fresh143751
Picked011
Done178
Total1883831966
Error
0.1b
Counts
1966 → 83
Alt Table
Click to see full alt table
StatusErrorProgram
22.5b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
43.4b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
48.9b
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
24.8b
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
43.7b
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
42.3b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
25.4b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x))) 3)
✓23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
30.0b
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
25.4b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
22.6b
(/.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))
25.3b
(/.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))))))
✓24.7b
(/.f64 (sin.f64 eps) (cos.f64 eps))
35.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
36.4b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.0b
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) 1)) (tan.f64 x))
35.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
36.2b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
36.2b
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
22.7b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓35.8b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.2b
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
39.4b
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
43.8b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
22.5b
(-.f64 (*.f64 (/.f64 (+.f64 1 (*.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))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
23.6b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
✓22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
51.3b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
▶36.4b
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
34.3b
(-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.6b
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
35.7b
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
36.6b
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
35.7b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
✓35.9b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
36.8b
(-.f64 (tan.f64 (+.f64 eps x)) x)
45.3b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
▶47.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
29.2b
(-.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))
▶12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
37.1b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
12.9b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3))
12.9b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
17.3b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
17.2b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
✓12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))
22.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))
25.4b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
20.3b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
29.3b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
43.8b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
40.8b
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
41.2b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
24.8b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
29.4b
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
▶24.7b
(tan.f64 eps)
46.4b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
45.2b
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
36.3b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓35.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.1b
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
24.7b
(log1p.f64 (expm1.f64 (tan.f64 eps)))
32.8b
(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)))))
32.0b
(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))))
43.8b
(log.f64 (exp.f64 (tan.f64 eps)))
47.4b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
29.5b
(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))))
28.1b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
43.2b
(exp.f64 (log.f64 (tan.f64 eps)))
▶26.4b
(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))
36.5b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
42.0b
eps
Compiler

Compiled 2879 to 1861 computations (35.4% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 102 to 42 computations (58.8% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite91.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1226×associate-*r/
898×*-commutative
882×associate-/r*
804×associate-*l/
694×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120726
2265026
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
(/.f64 1 (tan.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 eps)))))) 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(pow.f64 (tan.f64 eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) 1) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 1 (tan.f64 eps))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 eps)))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) -1/2) (pow.f64 (tan.f64 eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 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((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 eps))))))))

simplify104.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1492×associate-/l*
1196×associate-/r*
1174×associate-*r/
874×associate-*l/
872×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02863655
17373465
223333453
Stop Event
1×node limit
Counts
137 → 170
Calls
Call 1
Inputs
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1/3 eps))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1/3 eps) (*.f64 -1/45 (pow.f64 eps 3))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1/3 eps) (+.f64 (*.f64 -1/45 (pow.f64 eps 3)) (*.f64 -2/945 (pow.f64 eps 5)))))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.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 (tan.f64 eps)) (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (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 (tan.f64 eps) (tan.f64 x))
(*.f64 -1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 (sqrt.f64 (tan.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 eps))))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 eps))) (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (cbrt.f64 (tan.f64 eps))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (cbrt.f64 (tan.f64 eps))) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (tan.f64 eps) -1/2)) (/.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 eps) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 eps) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (tan.f64 eps) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) 1) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 1 (tan.f64 eps))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 eps)))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(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)
(pow.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(neg.f64 (*.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))
(neg.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 1))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(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))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 eps)))) 1)
(*.f64 1 (/.f64 1 (tan.f64 eps)))
(*.f64 (/.f64 1 (tan.f64 eps)) 1)
(*.f64 (pow.f64 (tan.f64 eps) -1/2) (pow.f64 (tan.f64 eps) -1/2))
(*.f64 (pow.f64 (tan.f64 eps) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (tan.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (tan.f64 eps)))))
(*.f64 -1 (/.f64 -1 (tan.f64 eps)))
(*.f64 (/.f64 -1 (tan.f64 eps)) -1)
(*.f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps)))
(*.f64 (sqrt.f64 (/.f64 -1 (tan.f64 eps))) (neg.f64 (sqrt.f64 (/.f64 -1 (tan.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 eps))) (cbrt.f64 (/.f64 -1 (tan.f64 eps)))) (neg.f64 (cbrt.f64 (/.f64 -1 (tan.f64 eps)))))
(*.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))
(*.f64 (/.f64 -1 (sqrt.f64 (tan.f64 eps))) (/.f64 -1 (sqrt.f64 (tan.f64 eps))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (/.f64 -1 (cbrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) 1) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) -1) (pow.f64 (sqrt.f64 (tan.f64 eps)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 eps)) -1))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (tan.f64 eps) -1/2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (tan.f64 eps)))) (sqrt.f64 (/.f64 -1 (tan.f64 eps))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 eps))) (cbrt.f64 (/.f64 -1 (tan.f64 eps))))) (cbrt.f64 (/.f64 -1 (tan.f64 eps))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (tan.f64 eps)))) (pow.f64 (tan.f64 eps) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) (cbrt.f64 (/.f64 1 (tan.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps)))) (cbrt.f64 (/.f64 1 (tan.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))))) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2))))
(pow.f64 (/.f64 1 (tan.f64 eps)) 1)
(pow.f64 (pow.f64 (tan.f64 eps) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 eps)) 3) 1/3)
(pow.f64 (tan.f64 eps) -1)
(neg.f64 (/.f64 -1 (tan.f64 eps)))
(sqrt.f64 (pow.f64 (tan.f64 eps) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 eps))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 eps))))
Outputs
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)))
(fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))
(fma.f64 1/3 (*.f64 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(fma.f64 2/15 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 5))) (fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x))))
(fma.f64 2/15 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 5)) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)))
(fma.f64 2/15 (*.f64 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/3 (*.f64 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(fma.f64 2/15 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 5))) (fma.f64 1/3 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 3))) (fma.f64 17/315 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 7))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) x)))))
(fma.f64 2/15 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 5)) (fma.f64 1/3 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 3)) (fma.f64 17/315 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 7)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))))
(fma.f64 2/15 (*.f64 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/3 (*.f64 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 17/315 (*.f64 (pow.f64 x 7) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 1/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 1/3 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(fma.f64 1/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2/15 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (cos.f64 x)) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (fma.f64 2/15 (*.f64 (/.f64 (pow.f64 eps 5) (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 1/3 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 3) (cos.f64 x))) (fma.f64 2/15 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 5)) (*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(fma.f64 1/3 (/.f64 (pow.f64 eps 3) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 2/15 (/.f64 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (cos.f64 x)) (fma.f64 17/315 (/.f64 (pow.f64 eps 7) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))))
(fma.f64 1/3 (*.f64 (/.f64 (pow.f64 eps 3) (cos.f64 x)) (sin.f64 x)) (fma.f64 2/15 (*.f64 (/.f64 (pow.f64 eps 5) (cos.f64 x)) (sin.f64 x)) (fma.f64 17/315 (*.f64 (/.f64 (pow.f64 eps 7) (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
(fma.f64 1/3 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 3) (cos.f64 x))) (fma.f64 2/15 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 5)) (fma.f64 17/315 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 7)) (*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1/3 eps))
(+.f64 (/.f64 1 eps) (*.f64 eps -1/3))
(fma.f64 eps -1/3 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1/3 eps) (*.f64 -1/45 (pow.f64 eps 3))))
(+.f64 (/.f64 1 eps) (fma.f64 -1/3 eps (*.f64 (pow.f64 eps 3) -1/45)))
(+.f64 (/.f64 1 eps) (fma.f64 eps -1/3 (*.f64 (pow.f64 eps 3) -1/45)))
(+.f64 (/.f64 1 eps) (fma.f64 (pow.f64 eps 3) -1/45 (*.f64 eps -1/3)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1/3 eps) (+.f64 (*.f64 -1/45 (pow.f64 eps 3)) (*.f64 -2/945 (pow.f64 eps 5)))))
(+.f64 (/.f64 1 eps) (fma.f64 -1/3 eps (fma.f64 -1/45 (pow.f64 eps 3) (*.f64 (pow.f64 eps 5) -2/945))))
(+.f64 (/.f64 1 eps) (fma.f64 eps -1/3 (fma.f64 (pow.f64 eps 5) -2/945 (*.f64 (pow.f64 eps 3) -1/45))))
(+.f64 (/.f64 1 eps) (fma.f64 eps -1/3 (fma.f64 (pow.f64 eps 3) -1/45 (*.f64 (pow.f64 eps 5) -2/945))))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)))
(*.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 (tan.f64 x) (tan.f64 eps))
(*.f64 (cbrt.f64 (tan.f64 eps)) (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)))
(*.f64 (tan.f64 x) (tan.f64 eps))
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(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))))) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))))))
(/.f64 1 (tan.f64 eps))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2)) (cbrt.f64 (pow.f64 (tan.f64 eps) -1/2))))
(pow.f64 (/.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (tan.f64 eps))
(pow.f64 (pow.f64 (tan.f64 eps) -1/2) 2)
(/.f64 1 (tan.f64 eps))
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) 3)
(/.f64 1 (tan.f64 eps))
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 eps)) 3) 1/3)
(/.f64 1 (tan.f64 eps))
(pow.f64 (tan.f64 eps) -1)
(/.f64 1 (tan.f64 eps))
(neg.f64 (/.f64 -1 (tan.f64 eps)))
(/.f64 1 (tan.f64 eps))
(sqrt.f64 (pow.f64 (tan.f64 eps) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 eps)))))
(/.f64 1 (tan.f64 eps))
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 eps)) 3))
(/.f64 1 (tan.f64 eps))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))
(exp.f64 (neg.f64 (log.f64 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize42.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.9b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
2.6b
(tan.f64 (+.f64 eps x))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite77.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1282×associate-*r/
1054×*-commutative
1026×associate-*l/
650×distribute-lft-in
636×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122821
2327821
Stop Event
1×node limit
Counts
1 → 102
Calls
Call 1
Inputs
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
Outputs
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simplify144.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1648×associate-*l/
1040×associate-+l+
1028×associate-+r+
826×+-commutative
666×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02997774
18737538
240747514
Stop Event
1×node limit
Counts
126 → 176
Calls
Call 1
Inputs
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.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 (+.f64 eps x)) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
Outputs
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(+.f64 (*.f64 -1 x) (fabs.f64 (tan.f64 (+.f64 eps x))))
(fma.f64 -1 x (fabs.f64 (tan.f64 (+.f64 eps x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (fabs.f64 (tan.f64 (+.f64 eps x)))))
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (fabs.f64 (tan.f64 (+.f64 eps x)))))
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (fabs.f64 (tan.f64 (+.f64 eps x)))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (fabs.f64 (tan.f64 (+.f64 eps x))))))
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (fabs.f64 (tan.f64 (+.f64 eps x))))))
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (fabs.f64 (tan.f64 (+.f64 eps x))))) x)
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (tan.f64 x)) (tan.f64 x))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (+.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 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (tan.f64 x)) (tan.f64 x))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps 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 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps x)) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(fma.f64 2 (+.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps x)) (-.f64 (tan.f64 x) (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 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (tan.f64 x)) (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (+.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 2) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps x)) (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 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (tan.f64 x)) (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (+.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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 (+.f64 eps x)) (-.f64 (tan.f64 x) (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 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (tan.f64 x)) (+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (+.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 2) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x))))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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))))
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(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3) 1/3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(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 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.1b
(*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps)))
✓0.1b
(*.f64 (tan.f64 eps) x)
✓3.2b
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Compiler

Compiled 51 to 16 computations (68.6% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite149.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1730×distribute-lft-in
622×associate-/r*
522×associate-+l+
432×associate-/l*
324×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01395
129187
2421687
Stop Event
1×node limit
Counts
3 → 285
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(*.f64 (tan.f64 eps) x)
(*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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exp.f64 (log.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (tan.f64 eps) x 1) (tan.f64 x) (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) x 1) (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)))))))

simplify234.0ms (1%)

Algorithm
1×egg-herbie
Rules
798×associate-*r*
706×associate-+l+
702×+-commutative
674×distribute-lft-in
668×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075926973
1213124055
Stop Event
1×node limit
Counts
357 → 459
Calls
Call 1
Inputs
(*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))))))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x))))))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (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) (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 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (cos.f64 eps))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps x)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) x)) (*.f64 eps x))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 eps x) (*.f64 2/15 (*.f64 (pow.f64 eps 5) x))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 2/15 (*.f64 (pow.f64 eps 5) x)) (*.f64 17/315 (*.f64 (pow.f64 eps 7) x)))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x))))) (*.f64 (pow.f64 eps 2) x))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.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 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) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.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 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 x (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) x)) (+.f64 (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)) (neg.f64 (tan.f64 x)))))
(+.f64 (tan.f64 x) (+.f64 (*.f64 (*.f64 (tan.f64 eps) x) (tan.f64 x)) (+.f64 (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)) (neg.f64 (tan.f64 x)))))
(+.f64 (tan.f64 x) (+.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) x)) (-.f64 (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)) (tan.f64 x))))
(+.f64 (tan.f64 x) (+.f64 (*.f64 (*.f64 (tan.f64 eps) x) (tan.f64 x)) (-.f64 (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)) (tan.f64 x))))
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(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))) (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) 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) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) 1) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (-.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 (fma.f64 (tan.f64 eps) x 1) (-.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 (fma.f64 (tan.f64 eps) x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.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 (fma.f64 (tan.f64 eps) x 1) (+.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 (fma.f64 (tan.f64 eps) x 1) (+.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 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) 1) (-.f64 1 (*.f64 (tan.f64 eps) x)))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) 1) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2)) (+.f64 (tan.f64 eps) (tan.f64 x))) 1) (-.f64 1 (*.f64 (tan.f64 eps) x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2)) (+.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2)) (+.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (+.f64 (tan.f64 eps) (tan.f64 x))) 1) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (+.f64 (tan.f64 eps) (tan.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (+.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (fma.f64 (tan.f64 eps) x 1)) 1) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (fma.f64 (tan.f64 eps) x 1)) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (fma.f64 (tan.f64 eps) x 1)) (*.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 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (fma.f64 (tan.f64 eps) x 1)) (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) x 1)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) x 1)) (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 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) x 1)) (*.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 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 1 (*.f64 (tan.f64 eps) x))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (-.f64 1 (*.f64 (tan.f64 eps) x))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 eps) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (-.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (-.f64 1 (*.f64 (tan.f64 eps) x)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (tan.f64 eps) x 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(fma.f64 (fma.f64 (tan.f64 eps) x 1) (tan.f64 x) (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)))
(fma.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) x 1) (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)))
Outputs
(*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x))))
(*.f64 eps (+.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 eps (*.f64 eps (/.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 eps (+.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) x))) (*.f64 x (*.f64 eps eps)))
(fma.f64 eps (+.f64 1 (/.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 eps (*.f64 eps x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))))))
(fma.f64 eps (+.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) x))) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) x)) 1/3)) (*.f64 x (*.f64 eps eps))))
(fma.f64 eps (+.f64 1 (/.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 (/.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 1/3)) (*.f64 eps (*.f64 eps x))))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x)))) (+.f64 (*.f64 (pow.f64 eps 2) x) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 x) x) (cos.f64 x))))))))
(fma.f64 2/3 (*.f64 x (pow.f64 eps 4)) (fma.f64 eps (+.f64 1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) x))) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) x)) 1/3)) (*.f64 x (*.f64 eps eps)))))
(fma.f64 2/3 (*.f64 x (pow.f64 eps 4)) (fma.f64 eps (+.f64 1 (/.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (*.f64 (/.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) 1/3)) (*.f64 eps (*.f64 eps x)))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (+.f64 1 (*.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 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (+.f64 1 (*.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 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (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 (*.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)) (+.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 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (+.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 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (-.f64 1 (*.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 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.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 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 eps) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)))
(*.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (-.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (-.f64 1 (*.f64 (tan.f64 eps) x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (*.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (+.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 1 (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (-.f64 1 (*.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 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 eps) x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) x) 2) (-.f64 1 (*.f64 (tan.f64 eps) x))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (/.f64 (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)) (/.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 (+.f64 1 (pow.f64 (*.f64 x (tan.f64 eps)) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (-.f64 1 (*.f64 x (tan.f64 eps))) (pow.f64 (*.f64 x (tan.f64 eps)) 2)))))
(pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 1)
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))) 3)
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 3) 1/3)
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (tan.f64 eps) x 1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 eps) x 1)))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x))) 3))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(exp.f64 (log.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))) 1))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (fma.f64 (tan.f64 eps) x 1) (tan.f64 x) (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))
(fma.f64 (tan.f64 x) (fma.f64 (tan.f64 eps) x 1) (*.f64 (tan.f64 eps) (fma.f64 (tan.f64 eps) x 1)))
(*.f64 (fma.f64 (tan.f64 eps) x 1) (+.f64 (tan.f64 x) (tan.f64 eps)))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.3b
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
4.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓5.3b
(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 93 to 30 computations (67.7% saved)

series67.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
56.0ms
eps
@0
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
2.0ms
x
@0
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
2.0ms
x
@inf
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
2.0ms
x
@-inf
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
1.0ms
eps
@-inf
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)

rewrite198.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1426×associate-/r*
1094×associate-/l*
844×associate-/r/
354×add-sqr-sqrt
342×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016108
1357108
24716108
Stop Event
1×node limit
Counts
2 → 173
Calls
Call 1
Inputs
(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 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
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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simplify291.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
896×associate-*r*
694×associate-/l*
670×associate-*l*
654×distribute-lft-in
612×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062132919
1190432443
Stop Event
1×node limit
Counts
221 → 303
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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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 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (/.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 (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 (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)) 2)))
(/.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)) (/.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)) 2)))
(/.f64 (*.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) (-.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (-.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))) (+.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)))) 2) (pow.f64 (tan.f64 x) 2)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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 (-.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) (+.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 (pow.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)) 3) (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3))
(/.f64 (pow.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)) 3) (pow.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))))))) 3))
(/.f64 (/.f64 (*.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) (-.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))) 1) (+.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (-.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))) (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (sqrt.f64 (+.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (-.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 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (cbrt.f64 (+.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (-.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 (*.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) (-.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))) (sqrt.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))))))))) (sqrt.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (-.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))) (*.f64 (cbrt.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)))))))) (cbrt.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)))))))))) (cbrt.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 (-.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) 1) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (*.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (/.f64 (*.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (/.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) 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 (*.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) (sqrt.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))))))))) (sqrt.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 (-.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) (*.f64 (cbrt.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)))))))) (cbrt.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)))))))))) (cbrt.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)))))))))
(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)) 6))
(log.f64 (exp.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)))
(log.f64 (+.f64 1 (expm1.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))))
(cbrt.f64 (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) 3))
(expm1.f64 (log1p.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)))
(exp.f64 (log.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)))
(exp.f64 (*.f64 (log.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))
(log1p.f64 (expm1.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)))
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))))
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(pow.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 eps)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
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(/.f64 (*.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) (-.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))) (*.f64 (sqrt.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)))))))) (sqrt.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 (-.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)) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2)) (*.f64 (cbrt.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)))))))) (cbrt.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)))))))))) (cbrt.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 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (-.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))) (*.f64 (cbrt.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 (cbrt.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)))))))) (cbrt.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 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2) (cbrt.f64 (+.f64 (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)) (cbrt.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))))))))) (cbrt.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))))))))))
(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)) 6))
(log.f64 (exp.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 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.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 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
(cbrt.f64 (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) 3))
(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 (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 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
(exp.f64 (log.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 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
(exp.f64 (*.f64 (log.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))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)
(log1p.f64 (expm1.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 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)

eval1.2s (5.3%)

Compiler

Compiled 76923 to 30984 computations (59.7% saved)

prune1.1s (4.9%)

Pruning

84 alts after pruning (72 fresh and 12 done)

PrunedKeptTotal
New187281880
Fresh66470
Picked011
Done11112
Total1879841963
Error
0.1b
Counts
1963 → 84
Alt Table
Click to see full alt table
StatusErrorProgram
22.5b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
43.4b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
48.9b
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
24.8b
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
43.7b
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
42.3b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
25.4b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x))) 3)
✓23.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
36.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
30.0b
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
25.4b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
22.6b
(/.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))
25.3b
(/.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))))))
✓24.7b
(/.f64 (sin.f64 eps) (cos.f64 eps))
35.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
36.4b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
22.5b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
35.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
36.2b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
36.2b
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
22.7b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓35.8b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.2b
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
39.4b
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
43.8b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
22.5b
(-.f64 (*.f64 (/.f64 (+.f64 1 (*.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))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
23.6b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
✓22.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
51.3b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
22.5b
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓36.4b
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
34.3b
(-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓35.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
35.7b
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
36.6b
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
35.7b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
✓35.9b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
36.8b
(-.f64 (tan.f64 (+.f64 eps x)) x)
45.3b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
60.8b
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
✓47.1b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
47.1b
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
29.2b
(-.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))
12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
37.1b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
12.9b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3))
12.9b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
17.2b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
✓12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))
22.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))
25.4b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
12.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
20.3b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
29.3b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
43.8b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
41.2b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
24.8b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
29.4b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
✓24.7b
(tan.f64 eps)
46.4b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
45.2b
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
36.3b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓35.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.1b
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
24.7b
(log1p.f64 (expm1.f64 (tan.f64 eps)))
32.8b
(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)))))
32.0b
(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))))
43.8b
(log.f64 (exp.f64 (tan.f64 eps)))
47.4b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
47.6b
(fabs.f64 (tan.f64 (+.f64 eps x)))
29.5b
(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))))
43.9b
(exp.f64 (*.f64 (log.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))
43.2b
(exp.f64 (log.f64 (tan.f64 eps)))
✓26.4b
(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))
49.6b
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
36.5b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
26.6b
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) 3) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
42.0b
eps
Compiler

Compiled 1493 to 977 computations (34.6% saved)

regimes739.0ms (3.3%)

Counts
128 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(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))))
(-.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 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.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)
(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)))))
(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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x))) 3)
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
(exp.f64 (*.f64 (log.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 (+.f64 1 (*.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))
(-.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (log.f64 (exp.f64 (-.f64 1 (*.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3))
(-.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) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.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))) (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 (+.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 (/.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))) (neg.f64 (tan.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 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) 1)) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))
(-.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 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) 3) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.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))))))) (tan.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))))))))))))
Outputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
Calls

3 calls:

371.0ms
x
190.0ms
eps
123.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.0b7x
0.3b3eps
7.9b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2349 to 974 computations (58.5% saved)

bsearch54.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
3.573291023702255e-6
0.010730651893946572
21.0ms
-115.01063350150756
-41.54695179070571
Results
19.0ms132×body256valid
17.0ms41×body1024valid
7.0ms28×body512valid
5.0ms7×body2048valid
Compiler

Compiled 1238 to 804 computations (35.1% saved)

regimes651.0ms (2.9%)

Counts
124 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(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))))
(-.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 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.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)
(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)))))
(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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x))) 3)
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
(exp.f64 (*.f64 (log.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 (+.f64 1 (*.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))
(-.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (log.f64 (exp.f64 (-.f64 1 (*.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3))
(-.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) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.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))) (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 (+.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 (/.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))) (neg.f64 (tan.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 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) 1)) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))
(-.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 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) 3) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
Calls

3 calls:

344.0ms
x
156.0ms
eps
108.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.0b7x
0.3b3eps
7.9b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2034 to 787 computations (61.3% saved)

bsearch50.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
3.573291023702255e-6
0.010730651893946572
19.0ms
-115.01063350150756
-41.54695179070571
Results
17.0ms124×body256valid
16.0ms42×body1024valid
9.0ms37×body512valid
3.0ms5×body2048valid
Compiler

Compiled 874 to 557 computations (36.3% saved)

regimes659.0ms (2.9%)

Counts
115 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(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))))
(-.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 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.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)
(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)))))
(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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x))) 3)
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
(exp.f64 (*.f64 (log.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 (+.f64 1 (*.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))
(-.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (log.f64 (exp.f64 (-.f64 1 (*.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3))
(-.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) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.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))) (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 (+.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 (/.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))) (neg.f64 (tan.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 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) 1)) (tan.f64 x))
Outputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))
Calls

3 calls:

346.0ms
x
210.0ms
eps
70.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.1b7x
0.4b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1675 to 657 computations (60.8% saved)

bsearch72.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
4.289443015340079e-17
4.030444042551743e-14
40.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
28.0ms67×body1024valid
22.0ms167×body256valid
10.0ms42×body512valid
7.0ms12×body2048valid
Compiler

Compiled 760 to 500 computations (34.2% saved)

regimes449.0ms (2%)

Counts
98 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(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))))
(-.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 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.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)
(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)))))
(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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x))) 3)
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Calls

3 calls:

251.0ms
x
112.0ms
eps
59.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.1b7x
0.4b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1220 to 507 computations (58.4% saved)

bsearch66.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
4.289443015340079e-17
4.030444042551743e-14
36.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
24.0ms68×body1024valid
23.0ms177×body256valid
8.0ms14×body2048valid
7.0ms29×body512valid
Compiler

Compiled 728 to 468 computations (35.7% saved)

regimes405.0ms (1.8%)

Counts
96 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
(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))))
(-.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 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.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)
(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)))))
(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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x))) 3)
Outputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))
Calls

3 calls:

218.0ms
x
105.0ms
eps
57.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.1b7x
0.4b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1170 to 488 computations (58.3% saved)

bsearch63.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
4.289443015340079e-17
4.030444042551743e-14
34.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
23.0ms70×body1024valid
21.0ms174×body256valid
8.0ms33×body512valid
6.0ms11×body2048valid
Compiler

Compiled 736 to 492 computations (33.2% saved)

regimes324.0ms (1.4%)

Counts
82 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Outputs
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

178.0ms
x
82.0ms
eps
46.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.1b6x
0.4b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 880 to 368 computations (58.2% saved)

bsearch63.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
4.289443015340079e-17
4.030444042551743e-14
34.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
22.0ms175×body256valid
19.0ms56×body1024valid
10.0ms42×body512valid
8.0ms15×body2048valid
Compiler

Compiled 680 to 460 computations (32.4% saved)

regimes312.0ms (1.4%)

Counts
80 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Outputs
(-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Calls

3 calls:

173.0ms
x
79.0ms
eps
43.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.1b6x
0.4b3eps
8.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 841 to 354 computations (57.9% saved)

bsearch62.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
4.289443015340079e-17
4.030444042551743e-14
36.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
22.0ms178×body256valid
22.0ms66×body1024valid
7.0ms32×body512valid
7.0ms12×body2048valid
Compiler

Compiled 702 to 482 computations (31.3% saved)

regimes311.0ms (1.4%)

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

3 calls:

174.0ms
x
77.0ms
eps
44.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.1b6x
0.4b3eps
8.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 824 to 348 computations (57.8% saved)

bsearch64.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
4.289443015340079e-17
4.030444042551743e-14
35.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
22.0ms174×body256valid
17.0ms51×body1024valid
11.0ms21×body2048valid
10.0ms42×body512valid
Compiler

Compiled 692 to 472 computations (31.8% saved)

regimes295.0ms (1.3%)

Counts
75 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))) (tan.f64 x))
(-.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (*.f64 (tan.f64 eps) x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (fabs.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Calls

3 calls:

164.0ms
x
75.0ms
eps
39.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.1b6x
0.4b3eps
8.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 754 to 306 computations (59.4% saved)

bsearch63.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
4.289443015340079e-17
4.030444042551743e-14
34.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
24.0ms72×body1024valid
19.0ms159×body256valid
11.0ms49×body512valid
5.0ms8×body2048valid
Compiler

Compiled 660 to 440 computations (33.3% saved)

regimes278.0ms (1.2%)

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

3 calls:

155.0ms
x
70.0ms
eps
38.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.1b6x
0.4b3eps
8.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 678 to 278 computations (59% saved)

bsearch60.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
4.289443015340079e-17
4.030444042551743e-14
34.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
22.0ms180×body256valid
18.0ms56×body1024valid
10.0ms41×body512valid
6.0ms11×body2048valid
Compiler

Compiled 644 to 424 computations (34.2% saved)

regimes186.0ms (0.8%)

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

3 calls:

68.0ms
eps
67.0ms
x
37.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.0b3x
12.0b3eps
13.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 644 to 267 computations (58.5% saved)

bsearch69.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
0.010730651893946572
1925.676169345659
37.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
29.0ms89×body1024valid
21.0ms166×body256valid
9.0ms38×body512valid
6.0ms11×body2048valid
Compiler

Compiled 485 to 359 computations (26% saved)

regimes150.0ms (0.7%)

Counts
55 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Outputs
(tan.f64 eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Calls

3 calls:

55.0ms
eps
54.0ms
x
30.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.0b3x
12.1b3eps
13.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 469 to 192 computations (59.1% saved)

bsearch67.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
0.010730651893946572
1925.676169345659
33.0ms
-0.011756317035474867
-2.4859778550530873e-14
Results
25.0ms74×body1024valid
24.0ms187×body256valid
7.0ms13×body2048valid
7.0ms30×body512valid
Compiler

Compiled 485 to 378 computations (22.1% saved)

regimes61.0ms (0.3%)

Accuracy

Total -38.7b remaining (-157%)

Threshold costs -38.7b (-157%)

Counts
54 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(fabs.f64 (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (+.f64 (tan.f64 x) 2) 2))
(-.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))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(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 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (fma.f64 -1/2 (*.f64 x x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (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 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
Outputs
(tan.f64 eps)
Calls

3 calls:

20.0ms
eps
20.0ms
x
11.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
24.7b1x
24.7b1eps
24.7b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 456 to 184 computations (59.6% saved)

simplify38.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
68×+-commutative
42×*-commutative
32×sub-neg
16×neg-mul-1
16×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312162
11882162
22202162
32372162
42472162
52492162
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8854437155380585/147573952589676412928) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6139076427730539/1180591620717411303424) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/151115727451828646838272) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))))
(if (<=.f64 eps -1450710983537555/302231454903657293676544) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(if (<=.f64 eps -1904058165893041/604462909807314587353088) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -1239148965104995/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -279564095785883/75557863725914323419136) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -2184094498327211/590295810358705651712) (tan.f64 eps) (if (<=.f64 eps 3112888062438487/288230376151711744) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -287769207549869/73786976294838206464) (tan.f64 eps) (if (<=.f64 eps 3112888062438487/288230376151711744) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(tan.f64 eps)
eps
Outputs
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8854437155380585/147573952589676412928) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8854437155380585/147573952589676412928) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8854437155380585/147573952589676412928) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 8854437155380585/147573952589676412928) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6139076427730539/1180591620717411303424) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6139076427730539/1180591620717411303424) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6139076427730539/1180591620717411303424) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))))
(if (<=.f64 eps -42) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6139076427730539/1180591620717411303424) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/151115727451828646838272) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/151115727451828646838272) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))) (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/151115727451828646838272) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))))
(if (<=.f64 eps -785801782749509/151115727451828646838272) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x)))))
(if (<=.f64 eps -1450710983537555/302231454903657293676544) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(if (<=.f64 eps -1904058165893041/604462909807314587353088) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)))))
(if (<=.f64 eps -1904058165893041/604462909807314587353088) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (+.f64 -1 (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)))))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))))
(if (or (<=.f64 eps -3022314549036573/604462909807314587353088) (not (<=.f64 eps 6338253001141147/158456325028528675187087900672))) (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (tan.f64 x))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))))
(if (<=.f64 eps -785801782749509/302231454903657293676544) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))))
(if (<=.f64 eps -1239148965104995/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -1239148965104995/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (tan.f64 x))))
(if (<=.f64 eps -1239148965104995/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))))
(if (<=.f64 eps -1239148965104995/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))))
(if (<=.f64 eps -279564095785883/75557863725914323419136) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 6338253001141147/158456325028528675187087900672) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (or (<=.f64 eps -3022314549036573/604462909807314587353088) (not (<=.f64 eps 6338253001141147/158456325028528675187087900672))) (-.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -2184094498327211/590295810358705651712) (tan.f64 eps) (if (<=.f64 eps 3112888062438487/288230376151711744) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -2184094498327211/590295810358705651712) (tan.f64 eps) (if (<=.f64 eps 3112888062438487/288230376151711744) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -287769207549869/73786976294838206464) (tan.f64 eps) (if (<=.f64 eps 3112888062438487/288230376151711744) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -287769207549869/73786976294838206464) (tan.f64 eps) (if (<=.f64 eps 3112888062438487/288230376151711744) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(tan.f64 eps)
eps
Compiler

Compiled 746 to 435 computations (41.7% saved)

soundness74.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1012×associate-*r*
798×associate-*l*
766×associate-/l*
684×*-commutative
668×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068622709
1210722437
Stop Event
1×node limit
Compiler

Compiled 395 to 239 computations (39.5% saved)

end201.0ms (0.9%)

Compiler

Compiled 720 to 337 computations (53.2% saved)

Profiling

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