Details

Time bar (total: 20.8s)

analyze516.0ms (2.5%)

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

Compiled 10 to 7 computations (30% saved)

sample3.7s (17.6%)

Results
1.8s3616×body1024valid
1.0s1283×body2048valid
455.0ms1397×body512valid
351.0ms1959×body256valid
1.0ms1×body4096valid
Bogosity

preprocess26.0ms (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)

simplify34.0ms (0.2%)

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
34.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.3b
(tan.f64 (+.f64 x eps))
✓1.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 20 to 6 computations (70% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite111.0ms (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
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
Outputs
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((x log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))))))

simplify178.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1014×associate-+r-
714×fma-def
658×associate-/l*
606×associate-*r*
496×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054613904
1156913404
2729513404
Stop Event
1×node limit
Counts
214 → 301
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)))
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(/.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps))))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (*.f64 (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 (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 (/.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (/.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 (/.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 1 (/.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 (*.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 (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 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (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 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (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 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps))) (*.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 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 -1 (+.f64 (*.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)) (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (+.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)))))) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (/.f64 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 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 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)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(tan.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
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(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
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(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(tan.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
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(tan.f64 (+.f64 eps x))

eval136.0ms (0.7%)

Compiler

Compiled 9355 to 3603 computations (61.5% saved)

prune81.0ms (0.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New27625301
Fresh000
Picked011
Done000
Total27626302
Error
0.1b
Counts
302 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
30.4b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps)))
49.0b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
46.5b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
34.8b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
21.2b
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
21.2b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
▶23.7b
(/.f64 (sin.f64 eps) (cos.f64 eps))
24.3b
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶24.6b
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
21.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.5b
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.5b
(-.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))
34.3b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
34.3b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
48.1b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
▶21.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
21.1b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓34.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
34.7b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
45.6b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
30.5b
(+.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)))
▶30.3b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
30.3b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
▶34.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
46.0b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
Compiler

Compiled 981 to 608 computations (38% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps)))
✓0.2b
(*.f64 (tan.f64 eps) (tan.f64 eps))
✓0.2b
(pow.f64 (tan.f64 x) 2)
✓3.6b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 131 to 46 computations (64.9% saved)

series21.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
4.0ms
x
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
4.0ms
eps
@0
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
3.0ms
eps
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
2.0ms
x
@-inf
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite118.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
019138
143494
2642694
Stop Event
1×node limit
Counts
4 → 131
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (tan.f64 x) 2)
(*.f64 (tan.f64 eps) (tan.f64 eps))
(*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))))

simplify139.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1048×associate-*r/
862×associate-*l/
824×+-commutative
822×associate-+r+
790×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044014757
1118713369
2513313365
Stop Event
1×node limit
Counts
203 → 235
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 4)) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 x 2)
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(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (+.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(+.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (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 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (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 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (*.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(*.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) (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 (/.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))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) (/.f64 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 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 1 (/.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 (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) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (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 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (cos.f64 x)) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x))) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x)))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))
(pow.f64 (tan.f64 eps) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)
(/.f64 (*.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (sin.f64 eps)) (cos.f64 eps))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(pow.f64 (tan.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))
(pow.f64 (tan.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))
(pow.f64 (tan.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(pow.f64 (tan.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))
(pow.f64 (tan.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)
(pow.f64 (tan.f64 eps) 2)
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 eps))
(pow.f64 (tan.f64 eps) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 2) 1)
(pow.f64 (tan.f64 eps) 2)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3) 1/3)
(pow.f64 (tan.f64 eps) 2)
(sqrt.f64 (pow.f64 (tan.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))
(pow.f64 (tan.f64 eps) 2)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))
(pow.f64 (tan.f64 eps) 2)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 2))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) 2)) 1))
(pow.f64 (tan.f64 eps) 2)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1))
(+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 0)
(/.f64 (*.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps)) (sin.f64 eps))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3) 1/3)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.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))

rewrite52.0ms (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)))))))

simplify60.0ms (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
✓0.3b
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.5b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.3b
(tan.f64 (+.f64 x eps))
1.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
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
eps
@-inf
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

rewrite90.0ms (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
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simplify123.0ms (0.6%)

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)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (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))) 1) (*.f64 (-.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)))) 1) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.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))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (cbrt.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))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (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 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 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 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))
(/.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))))
(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))))
(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)))
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(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
(expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
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(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)) (*.f64 -1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (pow.f64 eps 3)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
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(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 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2)
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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)))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 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)))))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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 (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)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
✓0.2b
(pow.f64 (cos.f64 x) 2)
✓0.2b
(pow.f64 (sin.f64 x) 2)
✓3.1b
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
Compiler

Compiled 50 to 27 computations (46% saved)

series8.0ms (0%)

Counts
4 → 36
Calls

15 calls:

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

rewrite92.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01282
124870
2307670
Stop Event
1×node limit
Counts
4 → 258
Calls
Call 1
Inputs
(*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change 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(/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 eps (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (/.f64 1 (cos.f64 x))) (cos.f64 x))))) 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(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))

simplify133.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
06039808
114689182
261019116
Stop Event
1×node limit
Counts
294 → 362
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(/.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1)
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(/.f64 (sqrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps))))
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (cbrt.f64 eps)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 eps))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) eps))
(/.f64 (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))
(/.f64 (*.f64 eps (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 eps (pow.f64 (cos.f64 x) -2)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 eps)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (cos.f64 x))
(/.f64 (/.f64 eps (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sin.f64 x) (sqrt.f64 eps))))
(/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 eps 1) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 1 (/.f64 eps (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 1 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (/.f64 1 (cos.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) -1) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) 1) (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) 1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (*.f64 eps (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (/.f64 eps (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (cos.f64 x))
(/.f64 (*.f64 (/.f64 eps 1) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 eps 1) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (/.f64 eps 1) 1) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (/.f64 eps 1) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (/.f64 eps 1) (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (/.f64 eps 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (/.f64 eps 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (/.f64 eps 1) -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 (/.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (*.f64 eps (pow.f64 (cos.f64 x) -2))) 2)
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) eps) (cos.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 -1 eps) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 eps)) 1) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (/.f64 eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) 1) (cos.f64 x))
(/.f64 (*.f64 (/.f64 eps (/.f64 1 (pow.f64 (sin.f64 x) 2))) 1) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) 1) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))
(/.f64 (*.f64 1 (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(/.f64 (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(/.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (cos.f64 x))) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(/.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 eps (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 eps (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
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(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))
(neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
Outputs
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))
(*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4))))
(fma.f64 (+.f64 (*.f64 eps -13/45) (*.f64 eps 2/3)) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3))))
(fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (+.f64 (*.f64 eps -13/45) (*.f64 eps 2/3)))) (pow.f64 x 8) (fma.f64 (+.f64 (*.f64 eps -13/45) (*.f64 eps 2/3)) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))))
(fma.f64 (+.f64 (*.f64 eps -19/105) (*.f64 eps 17/45)) (pow.f64 x 8) (fma.f64 (*.f64 eps 17/45) (pow.f64 x 6) (*.f64 eps (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 4) 1/3)) (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 (-.f64 1 (*.f64 x x)) (fma.f64 (pow.f64 x 6) -2/45 (*.f64 (pow.f64 x 4) 1/3)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 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 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) eps))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1)
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (sqrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps)))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps)) (/.f64 (sqrt.f64 eps) (pow.f64 (cos.f64 x) 2)))
(/.f64 (sqrt.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps)))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 eps)) (/.f64 (sqrt.f64 eps) (pow.f64 (cos.f64 x) 2)))
(/.f64 (cbrt.f64 eps) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (cbrt.f64 eps) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (/.f64 (cbrt.f64 eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (cbrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 eps))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 eps))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 eps)) (pow.f64 (cos.f64 x) 2))
(/.f64 (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2))
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(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (/.f64 (sin.f64 x) 1))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 (+.f64 x x)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.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)))))
✓0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓3.5b
(-.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))
Compiler

Compiled 97 to 33 computations (66% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(/.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)))))
1.0ms
x
@inf
(-.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))
1.0ms
eps
@-inf
(-.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))
1.0ms
x
@-inf
(-.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))
1.0ms
eps
@inf
(-.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))

rewrite129.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1356×associate-/r/
1180×associate-/l/
354×add-sqr-sqrt
348×pow1
348×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015122
1335122
24908122
Stop Event
1×node limit
Counts
4 → 227
Calls
Call 1
Inputs
(-.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 (tan.f64 x) (tan.f64 eps))
(+.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)))))
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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simplify166.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1288×associate-*r*
1180×associate-*l*
1040×associate-/l*
858×*-commutative
692×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078825793
1242125465
Stop Event
1×node limit
Counts
323 → 427
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 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(neg.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
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)) (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)))))
(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)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.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 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.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 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.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 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.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 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 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 (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 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 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 (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 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 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 (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 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 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 (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 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.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 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 (*.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))))
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(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)) (+.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (+.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)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (+.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)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (+.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)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))) (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(neg.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))

eval889.0ms (4.3%)

Compiler

Compiled 56310 to 23900 computations (57.6% saved)

prune757.0ms (3.6%)

Pruning

70 alts after pruning (67 fresh and 3 done)

PrunedKeptTotal
New1653541707
Fresh71320
Picked101
Done235
Total1663701733
Error
0.0b
Counts
1733 → 70
Alt Table
Click to see full alt table
StatusErrorProgram
21.0b
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
24.5b
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (neg.f64 (tan.f64 x)))
30.5b
(fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
30.5b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
49.0b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
23.7b
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
40.7b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
46.5b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
41.6b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
21.8b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
34.8b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
24.4b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
21.2b
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
24.2b
(/.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))))))
21.2b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
21.2b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
✓23.7b
(/.f64 (sin.f64 eps) (cos.f64 eps))
21.2b
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
21.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
21.0b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
34.3b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
34.3b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
38.9b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (tan.f64 x))
43.2b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
21.0b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
21.1b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓34.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
34.7b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
▶21.8b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
31.1b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
45.6b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
29.0b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
48.2b
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
▶21.0b
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
40.7b
(+.f64 eps (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3))
45.7b
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
30.4b
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
30.3b
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
30.4b
(+.f64 eps (/.f64 (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))))
30.3b
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
41.4b
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
▶30.3b
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
30.4b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
41.1b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
30.3b
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
46.2b
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
35.9b
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
39.8b
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
43.2b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
24.4b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
41.6b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
33.6b
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
23.7b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
30.3b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶23.6b
(tan.f64 eps)
45.1b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
29.7b
(log1p.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))
▶46.0b
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
25.2b
(log1p.f64 (expm1.f64 (-.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))))
22.0b
(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))))
34.8b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
✓34.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
43.2b
(log.f64 (exp.f64 (tan.f64 eps)))
46.0b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
30.1b
(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))))
27.7b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
41.0b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
36.3b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
41.6b
eps
Compiler

Compiled 2446 to 1575 computations (35.6% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓0.3b
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
✓0.3b
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps)))
✓3.5b
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
Compiler

Compiled 136 to 45 computations (66.9% saved)

series33.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
13.0ms
eps
@0
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
3.0ms
x
@-inf
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
3.0ms
eps
@inf
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
3.0ms
x
@inf
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
3.0ms
eps
@-inf
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))

rewrite178.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1590×associate-/l*
526×associate-+l+
444×+-commutative
416×add-sqr-sqrt
408×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017294
1394248
25857248
Stop Event
1×node limit
Counts
4 → 219
Calls
Call 1
Inputs
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 eps) (neg.f64 (tan.f64 x)))))))

simplify410.0ms (2%)

Algorithm
1×egg-herbie
Rules
984×associate-*r*
868×associate-/l*
798×associate-*l*
680×*-commutative
652×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077846071
1220944951
Stop Event
1×node limit
Counts
315 → 465
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) 2) (*.f64 (tan.f64 x) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))))))
(pow.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))))
(fma.f64 1 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (sqrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) 2) (cbrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 eps) (neg.f64 (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 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 (*.f64 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 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 4/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) -1))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) -1))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) -1))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))
(*.f64 (tan.f64 x) (+.f64 (/.f64 (tan.f64 eps) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) -1))
(fma.f64 (sqrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (sqrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (neg.f64 (tan.f64 x)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) 2) (neg.f64 (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) 2) (cbrt.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))
(*.f64 (tan.f64 x) (+.f64 (/.f64 (tan.f64 eps) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) -1))
(fma.f64 (*.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 eps) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (tan.f64 x))
(*.f64 (tan.f64 x) (+.f64 (/.f64 (tan.f64 eps) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) -1))

localize4.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
✓0.1b
(/.f64 (sin.f64 x) (cos.f64 x))
✓0.2b
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
✓3.1b
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
Compiler

Compiled 41 to 15 computations (63.4% saved)

series5.0ms (0%)

Counts
4 → 64
Calls

18 calls:

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

rewrite134.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1394×associate-*r/
1030×associate-*l/
732×associate-/r*
578×associate-/l*
520×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01256
125652
2331152
Stop Event
1×node limit
Counts
4 → 332
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (cbrt.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 1 (cos.f64 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simplify157.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1478×associate-*l*
1184×associate-/r*
906×*-commutative
774×associate-/r/
578×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083917272
1233016520
Stop Event
1×node limit
Counts
396 → 529
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.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 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 eps (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1)
(/.f64 eps (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 eps (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 eps (*.f64 (neg.f64 (sin.f64 x)) 1)) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) 1) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (/.f64 (sin.f64 x) 1)) (cos.f64 x))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) -1) (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 eps (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 1 (*.f64 eps (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 eps (tan.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 eps (tan.f64 x))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (*.f64 eps (tan.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 eps (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 eps (tan.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 -1 (*.f64 eps (tan.f64 x))) (neg.f64 (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 eps (tan.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) eps) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 x)) eps) (cos.f64 x))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) eps) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) eps) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) eps) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)))
(pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 1)
(pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 (tan.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (cbrt.f64 (pow.f64 (tan.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) 1))
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))
(/.f64 (pow.f64 (tan.f64 x) 2) 1)
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (sqrt.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) 1) (cos.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 x) 2))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)) (neg.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (/.f64 (/.f64 1 (tan.f64 x)) (cbrt.f64 (tan.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)) 1))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))) (/.f64 (/.f64 1 (tan.f64 x)) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (/.f64 1 (tan.f64 x))))
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(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) (/.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 1 (/.f64 1 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (/.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (/.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (*.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (*.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) 3)) (*.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (-.f64 (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) 3)) (*.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (neg.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps))) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (neg.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (sqrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2) (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (cbrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) 1) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps)) 1) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) 1) (neg.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) 1) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))) (sqrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)) (cbrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (/.f64 1 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) 3)) (/.f64 1 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (-.f64 (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) eps) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) 1) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (sqrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))) (sqrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (*.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))) (cbrt.f64 (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (+.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (*.f64 (tan.f64 x) (sqrt.f64 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 1)
(pow.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 2))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))
(cbrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 1 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 1 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 eps)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
Outputs
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
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(fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))
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(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
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(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 2)
(*.f64 x x)
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(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
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(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
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(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
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(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
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(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
x
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(fma.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))
(fma.f64 1/3 (pow.f64 x 3) (fma.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)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
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(*.f64 eps (neg.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(fma.f64 eps (*.f64 x x) eps)
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(fma.f64 eps (*.f64 x x) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (+.f64 eps (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))))
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(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.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)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.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)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.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)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.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)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.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)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.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)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.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)) eps)
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(+.f64 eps (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1)
(*.f64 eps (pow.f64 (tan.f64 x) 2))
(/.f64 eps (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 x)))
(*.f64 eps (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x)))
(*.f64 eps (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 eps (sin.f64 x)) (/.f64 (cos.f64 x) (tan.f64 x)))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (tan.f64 x))) (cos.f64 x))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 eps (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 eps (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 eps (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 eps (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 eps (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 eps (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 eps (*.f64 (neg.f64 (sin.f64 x)) 1)) (/.f64 (neg.f64 (cos.f64 x)) (tan.f64 x)))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) 1) (/.f64 1 (tan.f64 x)))
(*.f64 eps (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (*.f64 (tan.f64 x) (sqrt.f64 (sin.f64 x)))) eps))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (*.f64 eps (tan.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (/.f64 (sin.f64 x) 1)) (cos.f64 x))
(/.f64 eps (/.f64 (/.f64 (cos.f64 x) (tan.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
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(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 eps 3)) (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps))))) (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps))))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 eps 3)) (*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps)))))) (*.f64 (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps)))))) (cbrt.f64 (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps)))))))))
(pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 1)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3) 1/3)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(sqrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 2))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(cbrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(expm1.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 1))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(log1p.f64 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 1 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 1 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 eps)) eps)
(+.f64 (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2) eps)
(+.f64 eps (pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) 2))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)
(fma.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
✓0.3b
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
✓1.3b
(tan.f64 (+.f64 eps x))
✓1.5b
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
Compiler

Compiled 47 to 9 computations (80.9% saved)

series189.0ms (0.9%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
85.0ms
eps
@-inf
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
38.0ms
eps
@0
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
21.0ms
eps
@inf
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
20.0ms
x
@-inf
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
15.0ms
x
@inf
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))

rewrite128.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1530×associate-*r/
1288×associate-*l/
756×distribute-lft-in
338×associate-/r*
288×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01278
126478
2370978
Stop Event
1×node limit
Counts
4 → 342
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(tan.f64 (+.f64 eps x))
(expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
Outputs
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(tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))

simplify224.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
876×associate-*r*
824×associate-/l*
706×associate-*l*
686×+-commutative
628×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075331472
1210930994
Stop Event
1×node limit
Counts
438 → 410
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)))
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(/.f64 (sin.f64 x) (cos.f64 x))
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(/.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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (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))) (/.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)) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))) (/.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)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))) (/.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 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.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 (+.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 (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 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.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 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.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 (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 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (*.f64 (+.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 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (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 1 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3))) (+.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 1 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))) (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 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (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 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (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 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))) (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 (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) (pow.f64 (tan.f64 x) 2)))) (cbrt.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)) 1) (+.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)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) 1) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.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 (-.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))) 1) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) 1) (*.f64 (cos.f64 (+.f64 eps x)) (cos.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 x) 2) (pow.f64 (tan.f64 (+.f64 eps 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))))))
(/.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 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 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))))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 1))
(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 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 eps (*.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
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(-.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
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(-.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)
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(expm1.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.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)
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(expm1.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 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 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (+.f64 (pow.f64 (tan.f64 x) 6) (*.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 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)))) (/.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 (-.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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (+.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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (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 (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))) (*.f64 (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 (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 (-.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 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (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))))))
(/.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))))) (*.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))))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (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 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (cos.f64 (+.f64 eps x))) (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))))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(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))
(log.f64 (exp.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))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 1))
(-.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))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.3b
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
✓1.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
✓5.9b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
Compiler

Compiled 86 to 27 computations (68.6% saved)

series32.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
27.0ms
x
@0
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
1.0ms
eps
@0
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
0.0ms
eps
@0
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
0.0ms
x
@inf
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
0.0ms
eps
@inf
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))

rewrite383.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1422×associate-/r*
1090×associate-/l*
816×associate-/r/
332×add-sqr-sqrt
328×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015137
1327137
24421137
Stop Event
1×node limit
Counts
3 → 252
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (expm1.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
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simplify212.0ms (1%)

Algorithm
1×egg-herbie
Rules
948×associate-*r*
922×associate-/l*
904×*-commutative
750×associate-*l*
656×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086133596
1254932954
Stop Event
1×node limit
Counts
324 → 486
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (+.f64 1 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))))
(pow.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.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)))))
(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 (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 (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 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 (*.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 -1 (*.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)))))))))
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(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) 1)
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(-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) 1)
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(-.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (pow.f64 x 2))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (-.f64 (+.f64 1/3 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (cos.f64 eps)) (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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))))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) 1)
(+.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (+.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (+.f64 1/3 (+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2))) (*.f64 1/6 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 3)))) (fma.f64 -1/3 (/.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 x (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) -1)
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(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) 1)
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(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) 1)
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) 1)
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) 1)
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) 1)
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) 1)
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) 1)
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) 1)
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(expm1.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(expm1.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) 1)
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(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) 1)
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) 1))
(+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 eps (*.f64 eps (+.f64 (*.f64 (/.f64 (sin.f64 x) (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))))))) (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (*.f64 1/2 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3)) (/.f64 (*.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 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) 1)
(+.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (fma.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/2 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))) (*.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (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) (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (cos.f64 x)))) (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 -1/3 (/.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)))))))) 1))
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(neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
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(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
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(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
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(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
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(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (-.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
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(-.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
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(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
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(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (+.f64 1 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
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(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
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(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 1 (+.f64 -1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1))
(+.f64 1 (+.f64 -1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(+.f64 1 (+.f64 -1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))

eval1.2s (5.9%)

Compiler

Compiled 81736 to 34052 computations (58.3% saved)

prune939.0ms (4.5%)

Pruning

77 alts after pruning (71 fresh and 6 done)

PrunedKeptTotal
New1973322005
Fresh233962
Picked101
Done167
Total1998772075
Error
0.0b
Counts
2075 → 77
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.3b
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
24.5b
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (neg.f64 (tan.f64 x)))
30.5b
(fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
30.5b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
▶21.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
43.1b
(pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
49.0b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
23.7b
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
46.5b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
41.6b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
31.0b
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
21.8b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
34.8b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
24.4b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
21.2b
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
24.2b
(/.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))))))
44.9b
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
✓23.7b
(/.f64 (sin.f64 eps) (cos.f64 eps))
45.0b
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
▶21.1b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
21.2b
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
21.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
21.0b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
34.3b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
21.2b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.3b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
38.9b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (tan.f64 x))
43.2b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
21.1b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓34.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
34.7b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
24.1b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (tan.f64 x))
35.5b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
31.1b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
45.6b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
29.0b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
48.2b
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
✓21.0b
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
30.3b
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
30.3b
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
30.3b
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
30.3b
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
41.4b
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
42.0b
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
30.4b
(+.f64 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
30.3b
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
46.2b
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
30.3b
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
30.3b
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
30.3b
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
46.2b
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
▶35.9b
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
39.8b
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
▶43.2b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
24.4b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
41.6b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
33.6b
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
23.7b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
30.3b
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
✓23.6b
(tan.f64 eps)
45.1b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
29.7b
(log1p.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))
✓46.0b
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
34.8b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
22.0b
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
✓34.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
61.4b
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
31.0b
(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))))
43.2b
(log.f64 (exp.f64 (tan.f64 eps)))
46.0b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
30.1b
(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))))
27.7b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
47.2b
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
26.6b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
36.3b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
41.6b
eps
Compiler

Compiled 2422 to 1578 computations (34.8% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓3.6b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Compiler

Compiled 56 to 19 computations (66.1% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1884×associate-*l/
718×associate-/r*
464×associate-/r/
350×associate-/l*
336×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
132278
2432278
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(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)))) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (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)))) 0) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 0) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 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eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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)))))))) (#(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 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (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 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 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))))

simplify137.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1462×associate-*r/
1346×associate-*l/
1008×associate-+l+
926×associate-+r+
660×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032410535
19739973
239859973
Stop Event
1×node limit
Counts
131 → 186
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (+.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 1 (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))
(+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
1
(+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 1 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))
(+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 0 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 (+.f64 0 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 0) (tan.f64 x))
(+.f64 (-.f64 (+.f64 0 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 0) (tan.f64 x))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(+.f64 (-.f64 (+.f64 0 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 0 (-.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) (-.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(-.f64 (+.f64 0 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 0) (tan.f64 x))
(-.f64 (-.f64 (+.f64 0 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 0) (tan.f64 x))
(*.f64 1 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(*.f64 (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 (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 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2) (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 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (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 (-.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))) (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (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 (tan.f64 x) 3) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (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 (tan.f64 x) 3) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) 1) (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (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 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (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 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (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 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.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 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 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 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(*.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 -1 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)) -1)
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (-.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 (pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.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 (+.f64 1 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(*.f64 (/.f64 1 (+.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 (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 (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 (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)))))
(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 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 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)))
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1
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(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (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))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(-.f64 (tan.f64 eps) 1)
✓4.3b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite69.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1674×add-sqr-sqrt
1658×*-un-lft-identity
1550×add-cube-cbrt
1538×add-cbrt-cube
178×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
117516
2233216
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (tan.f64 eps)) 1)) (/.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (-.f64 1 (tan.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (tan.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 (tan.f64 eps)) 1) (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1))) (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)) (+.f64 (-.f64 1 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (+.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (-.f64 1 (tan.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) 1) (-.f64 (+.f64 (tan.f64 eps) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (tan.f64 eps)) 3) 1) (+.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) (+.f64 1 (+.f64 1 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (tan.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1)))))))) (#(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 sqrt.f64 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (tan.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) (sqrt.f64 (+.f64 (tan.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) (sqrt.f64 (+.f64 (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (/.f64 1 (+.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) 1) (-.f64 (sqrt.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (fma.f64 (tan.f64 eps) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (+.f64 1 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (-.f64 (tan.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 1 (*.f64 (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1)) (neg.f64 (+.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (tan.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) -1)))))

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
750×distribute-lft-in
670×unswap-sqr
640×times-frac
578×distribute-rgt-in
566×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01802130
14141958
217521896
Stop Event
1×node limit
Counts
100 → 113
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
-1
(-.f64 eps 1)
(-.f64 (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) 1)
(-.f64 (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(-.f64 (tan.f64 eps) 0)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (tan.f64 eps)) 1)) (/.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(*.f64 1 (tan.f64 eps))
(*.f64 (tan.f64 eps) 1)
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) 1))
(*.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 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1)))))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (tan.f64 eps)) 1) (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1))) (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)) (+.f64 (-.f64 1 (tan.f64 eps)) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (+.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) 1) (-.f64 (+.f64 (tan.f64 eps) -1) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (tan.f64 eps)) 3) 1) (+.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) (+.f64 1 (+.f64 1 (tan.f64 eps)))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1)))))
(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)
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(fma.f64 1 (+.f64 (tan.f64 eps) -1) 1)
(fma.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) (sqrt.f64 (+.f64 (tan.f64 eps) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 1)
(+.f64 (tan.f64 eps) -1)
(+.f64 -1 (tan.f64 eps))
(*.f64 1 (+.f64 (tan.f64 eps) -1))
(*.f64 (+.f64 (tan.f64 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) (sqrt.f64 (+.f64 (tan.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1)))
(*.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (/.f64 1 (+.f64 1 (tan.f64 eps))))
(*.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps)))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) 1) (-.f64 (sqrt.f64 (tan.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (fma.f64 (tan.f64 eps) (tan.f64 eps) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 eps) 3) -1)))
(/.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (+.f64 1 (tan.f64 eps)))
(/.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (-.f64 (tan.f64 eps) -1))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 1 (*.f64 (tan.f64 eps) -1))))
(/.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1)) (neg.f64 (+.f64 1 (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps)))))
(pow.f64 (+.f64 (tan.f64 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))
(expm1.f64 (log.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (+.f64 (tan.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1)))
(fma.f64 1 (tan.f64 eps) -1)
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) -1)
Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
-1
(-.f64 eps 1)
(+.f64 eps -1)
(-.f64 (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) 1)
(+.f64 eps (-.f64 (*.f64 1/3 (pow.f64 eps 3)) 1))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) -1))
(-.f64 (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5)))) 1)
(+.f64 eps (-.f64 (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))) 1))
(+.f64 eps (+.f64 (*.f64 2/15 (pow.f64 eps 5)) (fma.f64 1/3 (pow.f64 eps 3) -1)))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) -1))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)
(-.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(tan.f64 eps)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (tan.f64 eps)) 1)) (/.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (+.f64 1 (-.f64 1 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (-.f64 2 (tan.f64 eps)))
(/.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 eps) -2) (+.f64 (tan.f64 eps) -2)))
(*.f64 1 (tan.f64 eps))
(tan.f64 eps)
(*.f64 (tan.f64 eps) 1)
(tan.f64 eps)
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(tan.f64 eps)
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(*.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (+.f64 1 (-.f64 1 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (-.f64 2 (tan.f64 eps)))
(/.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 eps) -2) (+.f64 (tan.f64 eps) -2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2) (+.f64 -1 (tan.f64 eps))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (+.f64 (-.f64 2 (tan.f64 eps)) (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (fma.f64 (+.f64 -1 (tan.f64 eps)) (+.f64 (tan.f64 eps) -2) 1))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (tan.f64 eps)) 1) (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (+.f64 1 (-.f64 1 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (-.f64 2 (tan.f64 eps)))
(/.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 eps) -2) (+.f64 (tan.f64 eps) -2)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1))) (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2) (+.f64 -1 (tan.f64 eps))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (+.f64 (-.f64 2 (tan.f64 eps)) (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (fma.f64 (+.f64 -1 (tan.f64 eps)) (+.f64 (tan.f64 eps) -2) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)) (+.f64 (-.f64 1 (tan.f64 eps)) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (+.f64 1 (-.f64 1 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (-.f64 2 (tan.f64 eps)))
(/.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 eps) -2) (+.f64 (tan.f64 eps) -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2) (+.f64 -1 (tan.f64 eps))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (+.f64 (-.f64 2 (tan.f64 eps)) (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (fma.f64 (+.f64 -1 (tan.f64 eps)) (+.f64 (tan.f64 eps) -2) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)) (+.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2) (+.f64 -1 (tan.f64 eps))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (+.f64 (-.f64 2 (tan.f64 eps)) (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (fma.f64 (+.f64 -1 (tan.f64 eps)) (+.f64 (tan.f64 eps) -2) 1))
(/.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 (+.f64 (tan.f64 eps) -1) 2) 1) (-.f64 (+.f64 (tan.f64 eps) -1) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (+.f64 1 (-.f64 1 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (-.f64 2 (tan.f64 eps)))
(/.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 eps) -2) (+.f64 (tan.f64 eps) -2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(/.f64 (fma.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps)) -1) (+.f64 2 (tan.f64 eps)))
(/.f64 (+.f64 (tan.f64 eps) 2) (/.f64 (+.f64 (tan.f64 eps) 2) (tan.f64 eps)))
(*.f64 (/.f64 (+.f64 (tan.f64 eps) 2) (+.f64 (tan.f64 eps) 2)) (tan.f64 eps))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (tan.f64 eps)) 3) 1) (+.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) (+.f64 1 (+.f64 1 (tan.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 eps)) 3) -1) (fma.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps)) (+.f64 2 (tan.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 eps)) 3)) (fma.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps)) (+.f64 (tan.f64 eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (tan.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (tan.f64 eps)) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (+.f64 1 (-.f64 1 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)) (-.f64 2 (tan.f64 eps)))
(/.f64 (tan.f64 eps) (/.f64 (+.f64 (tan.f64 eps) -2) (+.f64 (tan.f64 eps) -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2) (+.f64 (tan.f64 eps) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 -1 (tan.f64 eps)) 2) (+.f64 -1 (tan.f64 eps))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (+.f64 (-.f64 2 (tan.f64 eps)) (pow.f64 (+.f64 -1 (tan.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (tan.f64 eps)) 3)) (fma.f64 (+.f64 -1 (tan.f64 eps)) (+.f64 (tan.f64 eps) -2) 1))
(pow.f64 (tan.f64 eps) 1)
(tan.f64 eps)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(tan.f64 eps)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(tan.f64 eps)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(tan.f64 eps)
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(tan.f64 eps)
(log.f64 (exp.f64 (tan.f64 eps)))
(tan.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(tan.f64 eps)
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(tan.f64 eps)
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(tan.f64 eps)
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(tan.f64 eps)
(fma.f64 1 (+.f64 (tan.f64 eps) -1) 1)
(tan.f64 eps)
(fma.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) (sqrt.f64 (+.f64 (tan.f64 eps) -1)) 1)
(tan.f64 eps)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 1)
(tan.f64 eps)
(+.f64 (tan.f64 eps) -1)
(+.f64 -1 (tan.f64 eps))
(+.f64 -1 (tan.f64 eps))
(*.f64 1 (+.f64 (tan.f64 eps) -1))
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(*.f64 (+.f64 (tan.f64 eps) -1) 1)
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(*.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) (sqrt.f64 (+.f64 (tan.f64 eps) -1)))
(+.f64 -1 (tan.f64 eps))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2))
(+.f64 -1 (tan.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1)))
(+.f64 -1 (tan.f64 eps))
(*.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (/.f64 1 (+.f64 1 (tan.f64 eps))))
(/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (tan.f64 eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps)))))
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(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 1 (tan.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 eps)) 1) (-.f64 (sqrt.f64 (tan.f64 eps)) 1))
(+.f64 -1 (tan.f64 eps))
(/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (fma.f64 (tan.f64 eps) (tan.f64 eps) -1)))
(/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (tan.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 eps) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))))
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(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 1 (tan.f64 eps)) 1))
(/.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (+.f64 1 (tan.f64 eps)))
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(/.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1) (-.f64 (tan.f64 eps) -1))
(/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1)))
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(/.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps))))
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(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 1 (tan.f64 eps)) 1))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1) (+.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 1 (*.f64 (tan.f64 eps) -1))))
(*.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (+.f64 1 (+.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 1 (tan.f64 eps)) 1))
(/.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 eps) -1)) (neg.f64 (+.f64 1 (tan.f64 eps))))
(/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (tan.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (+.f64 1 (tan.f64 eps)))))
(*.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (+.f64 1 (+.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 eps) (+.f64 1 (tan.f64 eps)) 1))
(pow.f64 (+.f64 (tan.f64 eps) -1) 1)
(+.f64 -1 (tan.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 eps) -1)) 2)
(+.f64 -1 (tan.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3)
(+.f64 -1 (tan.f64 eps))
(pow.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3) 1/3)
(+.f64 -1 (tan.f64 eps))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2))
(+.f64 -1 (tan.f64 eps))
(log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1)))
(+.f64 -1 (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 -1 (tan.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3))
(+.f64 -1 (tan.f64 eps))
(expm1.f64 (log.f64 (tan.f64 eps)))
(+.f64 -1 (tan.f64 eps))
(exp.f64 (log.f64 (+.f64 (tan.f64 eps) -1)))
(+.f64 -1 (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 eps) -1)) 1))
(+.f64 -1 (tan.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1)))
(+.f64 -1 (tan.f64 eps))
(fma.f64 1 (tan.f64 eps) -1)
(+.f64 -1 (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) -1)
(+.f64 -1 (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) -1)
(+.f64 -1 (tan.f64 eps))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
0.2b
(pow.f64 (tan.f64 x) 2)
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1804×add-sqr-sqrt
1790×*-un-lft-identity
1648×add-cube-cbrt
1630×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
120219
2228619
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2) (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3) (pow.f64 eps 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))))))

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
972×associate-/l*
784×*-commutative
760×associate-+r+
746×associate-/r*
706×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961459
12421439
210241337
331861335
Stop Event
1×node limit
Counts
49 → 52
Calls
Call 1
Inputs
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.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 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 1) eps)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))) 1)
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(*.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 1)
(*.f64 1 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2) (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3) (pow.f64 eps 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps))))
(pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
Outputs
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 x (*.f64 eps x) eps)
(*.f64 eps (fma.f64 x x 1))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (*.f64 2/3 (*.f64 eps (pow.f64 x 4))))
(fma.f64 eps (*.f64 x x) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) eps))
(*.f64 eps (+.f64 (fma.f64 x x 1) (*.f64 2/3 (pow.f64 x 4))))
(*.f64 eps (+.f64 (*.f64 2/3 (pow.f64 x 4)) (fma.f64 x x 1)))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 (*.f64 17/45 eps) (pow.f64 x 6))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (*.f64 (pow.f64 x 6) 17/45))))
(fma.f64 (fma.f64 x x 1) eps (*.f64 eps (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6)))))
(*.f64 eps (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (fma.f64 x x 1))))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))
(+.f64 eps (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) eps))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(+.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 1) eps)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))) 1)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(*.f64 eps (+.f64 (pow.f64 (tan.f64 x) 2) 1))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(*.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 1)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(*.f64 1 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2) (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) 3) (pow.f64 eps 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) (*.f64 (pow.f64 (tan.f64 x) 2) eps)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 eps 3)) (fma.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (*.f64 eps (pow.f64 (tan.f64 x) 2)) (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 eps 3)) (fma.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))
(/.f64 (*.f64 (pow.f64 eps 3) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 4)) (pow.f64 (tan.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (tan.f64 x) 6)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 eps 3) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))))
(pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 1)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 2)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 3) 1/3)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 2))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps))))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) 3))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 1))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 x) (cos.f64 x))
✓0.2b
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
0.2b
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
3.1b
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
Compiler

Compiled 52 to 20 computations (61.5% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@-inf
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
0.0ms
eps
@0
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
0.0ms
eps
@inf
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
0.0ms
x
@inf
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
0.0ms
x
@-inf
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))

rewrite121.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1394×associate-*r/
1076×associate-*l/
718×associate-/r*
580×associate-/l*
426×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01327
128019
2367519
Stop Event
1×node limit
Counts
1 → 81
Calls
Call 1
Inputs
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 eps (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 eps (/.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (exp.f64 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2) (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (/.f64 1 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))))))

simplify142.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1812×distribute-lft-in
1778×distribute-rgt-in
854×associate-/r/
838×associate-/l/
436×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02367389
16866491
234216491
Stop Event
1×node limit
Counts
105 → 141
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
eps
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
eps
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) (-.f64 1 eps))
(-.f64 (/.f64 eps (/.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(-.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))) 1)
(-.f64 (+.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (exp.f64 (log1p.f64 eps))) 1)
(*.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 1)
(*.f64 1 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))
(*.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(*.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2) (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (/.f64 1 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(*.f64 (/.f64 1 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))
(*.f64 (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) (/.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 1 (/.f64 1 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (/.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (/.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))
(/.f64 (-.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (*.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (*.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) 3)) (*.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))) (-.f64 (+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) 3)) (*.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (neg.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) 1) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps))) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (neg.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (sqrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2) (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))))) (cbrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps)) 1) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) 1) (neg.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) 1) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))) (sqrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)) (cbrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (/.f64 1 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) 3)) (/.f64 1 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))) (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (-.f64 (+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (*.f64 (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))) (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) 1) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (sqrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))) (sqrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (*.f64 (cbrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))) (cbrt.f64 (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (+.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (*.f64 (tan.f64 x) (sqrt.f64 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 1)
(pow.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 2))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))
(cbrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 1 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 1 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 eps)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
Outputs
(fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
eps
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
eps
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(+.f64 (fabs.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) eps)
(+.f64 eps (fabs.f64 (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
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(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 eps (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 4)) eps)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (+.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (*.f64 (tan.f64 x) (sqrt.f64 eps))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (*.f64 (-.f64 (sqrt.f64 eps) (*.f64 (tan.f64 x) (sqrt.f64 eps))) (*.f64 (+.f64 (tan.f64 x) 1) (sqrt.f64 eps))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 (*.f64 (sqrt.f64 eps) (+.f64 1 (tan.f64 x))) (*.f64 (+.f64 (neg.f64 (tan.f64 x)) 1) (sqrt.f64 eps))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 (*.f64 (sqrt.f64 eps) (+.f64 1 (tan.f64 x))) (*.f64 (+.f64 1 (neg.f64 (tan.f64 x))) (sqrt.f64 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 eps (pow.f64 (tan.f64 x) 2) (neg.f64 eps))))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) 3)) (*.f64 eps (+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)))))
(pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 1)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 2)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(pow.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3) 1/3)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(sqrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 2))
(fabs.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps))))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(cbrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps) 3))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(expm1.f64 (log1p.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 1))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(log1p.f64 (expm1.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 1 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 1 (*.f64 eps (pow.f64 (tan.f64 x) 2)) eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 (*.f64 (tan.f64 x) (sqrt.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 eps)) eps)
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 4))) (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)
(fma.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (cbrt.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))) eps)
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (*.f64 eps (pow.f64 (tan.f64 x) 2)))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
✓3.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 93 to 30 computations (67.7% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite202.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1356×associate-/l*
1196×associate-/r/
712×associate-/l/
344×add-sqr-sqrt
338×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015159
1344159
24700159
Stop Event
1×node limit
Counts
3 → 288
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(/.f64 1 (-.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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simplify501.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1032×associate-*r*
770×associate-*l*
738×*-commutative
676×associate-/r*
674×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069344808
1215344120
Stop Event
1×node limit
Counts
360 → 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)))
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(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(-.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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(pow.f64 (/.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)))) 3)
(pow.f64 (/.f64 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)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(cbrt.f64 (/.f64 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)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.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 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.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 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 -1 (*.f64 x (*.f64 x (neg.f64 (+.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 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(+.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 x (*.f64 x (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 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)))))))
(+.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 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (*.f64 (*.f64 eps eps) (neg.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (/.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)))))))))
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(*.f64 (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (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 (+.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))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 4) (pow.f64 (tan.f64 x) 4))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (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 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 4) (+.f64 (pow.f64 (tan.f64 x) 4) (*.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))))) (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3))))
(*.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)) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 4) (pow.f64 (tan.f64 x) 4))) (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 6) (pow.f64 (tan.f64 x) 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)
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1)
(/.f64 1 (-.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)) -1/2) 2)
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (/.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)))) 3)
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (/.f64 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)) 1/3)
(cbrt.f64 (/.f64 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)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(cbrt.f64 (/.f64 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)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.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 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (*.f64 (neg.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 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 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))

eval902.0ms (4.3%)

Compiler

Compiled 47968 to 21615 computations (54.9% saved)

prune481.0ms (2.3%)

Pruning

90 alts after pruning (80 fresh and 10 done)

PrunedKeptTotal
New1449291478
Fresh155166
Picked011
Done1910
Total1465901555
Error
0b
Counts
1555 → 90
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.3b
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
22.1b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
24.5b
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (neg.f64 (tan.f64 x)))
30.5b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
30.5b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
21.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x)))
21.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (neg.f64 (tan.f64 x)))
✓21.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
21.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
31.1b
(fma.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
49.0b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
23.7b
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
46.5b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
41.6b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
31.0b
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
34.8b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
24.4b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
24.2b
(/.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))))))
43.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
44.9b
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
✓23.7b
(/.f64 (sin.f64 eps) (cos.f64 eps))
45.0b
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
21.1b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))))
21.1b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))))
✓21.1b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
28.4b
(/.f64 1 (+.f64 (/.f64 1 (*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) 2))))))
26.3b
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
21.2b
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
21.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.3b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
21.2b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.3b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
38.9b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (tan.f64 x))
43.2b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
21.1b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓34.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
34.7b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
24.1b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (tan.f64 x))
35.5b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
31.1b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
45.6b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
48.2b
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
✓21.0b
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
30.3b
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
30.3b
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
30.3b
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
30.3b
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
30.3b
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
41.4b
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
42.0b
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
30.4b
(+.f64 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
46.2b
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
30.3b
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
30.3b
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
30.3b
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
46.2b
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
35.8b
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))
35.9b
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2))))
35.8b
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
44.5b
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x x))))
39.8b
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
43.5b
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3))
43.3b
(+.f64 1 (/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1))))
43.2b
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
✓43.2b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
61.0b
(+.f64 1 (-.f64 eps 1))
43.5b
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1))))
55.0b
(+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)))
43.8b
(+.f64 1 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
43.2b
(+.f64 1 (log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1))))
43.3b
(+.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)))
61.3b
(+.f64 1 -1)
24.4b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
33.6b
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
23.7b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
30.3b
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
✓23.6b
(tan.f64 eps)
45.1b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
29.7b
(log1p.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))
✓46.0b
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
34.8b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
✓34.7b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
61.4b
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
31.0b
(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))))
43.2b
(log.f64 (exp.f64 (tan.f64 eps)))
46.0b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
27.7b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
47.2b
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
36.3b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
41.6b
eps
Compiler

Compiled 1423 to 974 computations (31.6% saved)

regimes993.0ms (4.8%)

Counts
141 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.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)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 1 (log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 1 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)))
(+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)))
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 1 (/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1))))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
(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 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 eps (*.f64 eps (/.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 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 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 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (neg.f64 (tan.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (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 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.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)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (log.f64 (exp.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 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (neg.f64 (tan.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(log1p.f64 (expm1.f64 (-.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 eps (/.f64 (*.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (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 (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(log1p.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) 2))))))
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
Calls

3 calls:

525.0ms
x
316.0ms
eps
102.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.3b7x
0.2b3eps
4.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2298 to 1037 computations (54.9% saved)

bsearch87.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
7.834596433237117e-9
0.14649819255723903
33.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
31.0ms45×body512valid
25.0ms182×body256valid
20.0ms57×body1024valid
2.0ms4×body2048valid
Compiler

Compiled 1112 to 676 computations (39.2% saved)

regimes705.0ms (3.4%)

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

3 calls:

366.0ms
x
169.0ms
eps
130.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.1b7x
0.2b3eps
5.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1894 to 834 computations (56% saved)

bsearch64.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
7.834596433237117e-9
0.14649819255723903
31.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
25.0ms184×body256valid
22.0ms64×body1024valid
9.0ms36×body512valid
2.0ms4×body2048valid
Compiler

Compiled 1112 to 694 computations (37.6% saved)

regimes603.0ms (2.9%)

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

3 calls:

346.0ms
x
141.0ms
eps
81.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
0.5b3eps
5.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1862 to 819 computations (56% saved)

bsearch56.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
1.018061607696964e-11
7.834596433237117e-9
29.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
21.0ms172×body256valid
17.0ms51×body1024valid
10.0ms45×body512valid
2.0ms4×body2048valid
Compiler

Compiled 624 to 401 computations (35.7% saved)

regimes559.0ms (2.7%)

Counts
123 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.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)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 1 (log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 1 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)))
(+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)))
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 1 (/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1))))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
(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 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 eps (*.f64 eps (/.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 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 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 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (neg.f64 (tan.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (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 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.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)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (log.f64 (exp.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 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

321.0ms
x
133.0ms
eps
73.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
0.5b3eps
5.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1665 to 737 computations (55.7% saved)

bsearch56.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
1.018061607696964e-11
7.834596433237117e-9
30.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
22.0ms174×body256valid
17.0ms51×body1024valid
10.0ms41×body512valid
3.0ms6×body2048valid
Compiler

Compiled 560 to 369 computations (34.1% saved)

regimes490.0ms (2.4%)

Counts
109 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.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)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 1 (log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 1 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)))
(+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)))
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 1 (/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1))))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
(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 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 eps (*.f64 eps (/.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 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 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 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (neg.f64 (tan.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (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 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.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)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1) (tan.f64 x))
Outputs
(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 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Calls

3 calls:

283.0ms
x
116.0ms
eps
64.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
0.5b3eps
5.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1316 to 623 computations (52.7% saved)

bsearch57.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
1.018061607696964e-11
7.834596433237117e-9
31.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
21.0ms171×body256valid
18.0ms53×body1024valid
10.0ms42×body512valid
3.0ms6×body2048valid
Compiler

Compiled 533 to 342 computations (35.8% saved)

regimes440.0ms (2.1%)

Counts
98 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.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)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 1 (log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 1 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)))
(+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)))
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 1 (/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1))))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
(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 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 eps (*.f64 eps (/.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 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 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 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (neg.f64 (tan.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (tan.f64 x))))
Outputs
(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 (pow.f64 (tan.f64 x) 2) eps eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Calls

3 calls:

255.0ms
x
102.0ms
eps
60.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
0.5b3eps
5.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1115 to 554 computations (50.3% saved)

bsearch56.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
1.018061607696964e-11
7.834596433237117e-9
31.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
23.0ms179×body256valid
18.0ms53×body1024valid
8.0ms34×body512valid
3.0ms6×body2048valid
Compiler

Compiled 541 to 350 computations (35.3% saved)

regimes419.0ms (2%)

Counts
94 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.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)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 1 (log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 1 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)))
(+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)))
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 1 (/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1))))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
(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 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 eps (*.f64 eps (/.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 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 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 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

241.0ms
x
97.0ms
eps
58.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
8.5b8x
0.5b3eps
5.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1029 to 519 computations (49.6% saved)

bsearch57.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
1.018061607696964e-11
7.834596433237117e-9
28.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
21.0ms165×body256valid
17.0ms51×body1024valid
12.0ms50×body512valid
3.0ms6×body2048valid
Compiler

Compiled 507 to 316 computations (37.7% saved)

regimes281.0ms (1.4%)

Counts
88 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.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)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 1 (log.f64 (exp.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 1 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 eps) -1))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(+.f64 1 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 3)))
(+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (tan.f64 eps) -1) 2)))
(+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 3))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 eps (*.f64 eps (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))
(+.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (tan.f64 x))))
(+.f64 eps (/.f64 (*.f64 (*.f64 eps (tan.f64 x)) (sin.f64 x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 1 (/.f64 1 (/.f64 (+.f64 1 (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 2) -1))))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 eps (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2))))
(+.f64 eps (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (/.f64 2 eps) (pow.f64 (cos.f64 x) -2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (tan.f64 eps)) (+.f64 1 (tan.f64 eps))) 1) (+.f64 (+.f64 1 (tan.f64 eps)) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) 2)))
(+.f64 eps (*.f64 (pow.f64 (tan.f64 x) 2) (log.f64 (exp.f64 eps))))
(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 eps (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (+.f64 (tan.f64 x) 1))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (tan.f64 x) 2)))) 1))
(+.f64 eps (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) (cos.f64 x)) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (fabs.f64 (*.f64 (/.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))
(+.f64 eps (*.f64 eps (exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 eps (*.f64 eps (/.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 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4)))) (*.f64 eps (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 4))))) (*.f64 (neg.f64 eps) (-.f64 1 (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(log.f64 (exp.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (fabs.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (tan.f64 x) 2) eps)) 3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)) 3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 eps (fabs.f64 (*.f64 eps (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 3) 2))))
(+.f64 eps (exp.f64 (log.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))
(+.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (tan.f64 eps) -1))))
(+.f64 eps (-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1))
(+.f64 eps (pow.f64 (pow.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) 1/3))
Outputs
(tan.f64 eps)
(fma.f64 (pow.f64 (tan.f64 x) 2) eps eps)
(tan.f64 eps)
Calls

3 calls:

116.0ms
x
91.0ms
eps
54.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.7b3x
12.3b3eps
12.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 919 to 479 computations (47.9% saved)

bsearch62.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
0.2522443005995923
2.742877728086645e+25
28.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
27.0ms219×body256valid
16.0ms48×body1024valid
11.0ms47×body512valid
3.0ms6×body2048valid
Compiler

Compiled 314 to 230 computations (26.8% saved)

regimes100.0ms (0.5%)

Counts
28 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 eps (/.f64 -1 (/.f64 -1 (*.f64 eps (pow.f64 (tan.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 -1 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))))))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.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)
Outputs
(tan.f64 eps)
(+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(tan.f64 eps)
Calls

3 calls:

42.0ms
x
33.0ms
eps
20.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.7b3x
12.4b3eps
12.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 215 to 124 computations (42.3% saved)

bsearch65.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
0.2522443005995923
2.742877728086645e+25
30.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
26.0ms203×body256valid
23.0ms70×body1024valid
10.0ms42×body512valid
3.0ms5×body2048valid
Compiler

Compiled 394 to 270 computations (31.5% saved)

regimes61.0ms (0.3%)

Counts
17 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) eps) eps)
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) 1)))
(+.f64 eps (*.f64 eps (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
Outputs
(tan.f64 eps)
(+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2)))
(tan.f64 eps)
Calls

3 calls:

22.0ms
eps
22.0ms
x
14.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.8b3x
12.4b3eps
12.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 127 to 75 computations (40.9% saved)

bsearch63.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
0.2522443005995923
2.742877728086645e+25
27.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
28.0ms219×body256valid
18.0ms55×body1024valid
8.0ms37×body512valid
5.0ms9×body2048valid
Compiler

Compiled 334 to 250 computations (25.1% saved)

regimes48.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
Outputs
(tan.f64 eps)
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps)
(tan.f64 eps)
Calls

3 calls:

17.0ms
x
17.0ms
eps
12.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.8b3x
12.4b3eps
12.8b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 81 to 51 computations (37% saved)

bsearch61.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
0.2522443005995923
2.742877728086645e+25
28.0ms
-0.013565392208740909
-3.005706415030955e-10
Results
28.0ms220×body256valid
16.0ms49×body1024valid
10.0ms45×body512valid
3.0ms6×body2048valid
Compiler

Compiled 334 to 270 computations (19.2% saved)

regimes18.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
eps
(+.f64 1 -1)
(+.f64 1 (-.f64 eps 1))
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (fabs.f64 (*.f64 eps (*.f64 x 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))
Outputs
(tan.f64 eps)
Calls

3 calls:

6.0ms
x
6.0ms
eps
5.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
23.6b1x
23.6b1eps
23.6b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 73 to 46 computations (37% saved)

regimes7.0ms (0%)

Accuracy

Total -20.1b remaining (-48.3%)

Threshold costs -20.1b (-48.3%)

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

2 calls:

3.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
41.6b1x
41.6b1eps
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify30.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
38×+-commutative
30×*-commutative
18×sub-neg
14×neg-mul-1
14×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211425
11651425
21841425
32001425
42091425
52131425
62141425
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -4061235175267895/18889465931478580854784) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6611313076017503/18889465931478580854784) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -1369486280032197/9444732965739290427392) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 4533471823554859/18889465931478580854784) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -3264099712959499/1208925819614629174706176) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2949778999859695/2417851639229258349412352) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -3264099712959499/1208925819614629174706176) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 279564095785883/75557863725914323419136) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 7253554917687775/2417851639229258349412352) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2357405348248527/604462909807314587353088) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -1450710983537555/604462909807314587353088) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 4593918114535591/1208925819614629174706176) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -2833419889721787/2361183241434822606848) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (tan.f64 eps)))
(if (<=.f64 eps -8500259669165361/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (tan.f64 eps)))
(if (<=.f64 eps -1369486280032197/2361183241434822606848) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (tan.f64 eps)))
(if (<=.f64 eps -944473296573929/590295810358705651712) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps) (tan.f64 eps)))
(tan.f64 eps)
eps
Outputs
(if (<=.f64 eps -4061235175267895/18889465931478580854784) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 6611313076017503/18889465931478580854784) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -1369486280032197/9444732965739290427392) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 4533471823554859/18889465931478580854784) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -3264099712959499/1208925819614629174706176) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2949778999859695/2417851639229258349412352) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -3264099712959499/1208925819614629174706176) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 279564095785883/75557863725914323419136) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 7253554917687775/2417851639229258349412352) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2357405348248527/604462909807314587353088) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))
(if (or (<=.f64 eps -7495340081610701/2417851639229258349412352) (not (<=.f64 eps 2357405348248527/604462909807314587353088))) (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 (pow.f64 (tan.f64 x) 2) eps eps))
(if (<=.f64 eps -1450710983537555/604462909807314587353088) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 4593918114535591/1208925819614629174706176) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (or (<=.f64 eps -1450710983537555/604462909807314587353088) (not (<=.f64 eps 4593918114535591/1208925819614629174706176))) (-.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 (tan.f64 x) 2) eps eps))
(if (<=.f64 eps -2833419889721787/2361183241434822606848) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (fma.f64 (pow.f64 (tan.f64 x) 2) eps eps) (tan.f64 eps)))
(if (<=.f64 eps -8500259669165361/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (+.f64 eps (/.f64 (*.f64 eps (tan.f64 x)) (/.f64 1 (tan.f64 x)))) (tan.f64 eps)))
(if (<=.f64 eps -1369486280032197/2361183241434822606848) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (+.f64 eps (*.f64 eps (pow.f64 (tan.f64 x) 2))) (tan.f64 eps)))
(if (<=.f64 eps -944473296573929/590295810358705651712) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) 1) eps) (tan.f64 eps)))
(if (<=.f64 eps -944473296573929/590295810358705651712) (tan.f64 eps) (if (<=.f64 eps 1170935903116329/4503599627370496) (*.f64 eps (+.f64 1 (pow.f64 (tan.f64 x) 2))) (tan.f64 eps)))
(tan.f64 eps)
eps
Compiler

Compiled 513 to 289 computations (43.7% saved)

soundness227.0ms (1.1%)

Algorithm
3×egg-herbie
Rules
1048×associate-*r/
1014×associate-+r-
1014×associate-+r-
862×associate-*l/
824×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054613904
1156913404
2729513404
044014757
1118713369
2513313365
054613904
1156913404
2729513404
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 452 to 214 computations (52.7% saved)

end144.0ms (0.7%)

Compiler

Compiled 489 to 212 computations (56.6% saved)

Profiling

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