Details

Time bar (total: 19.6s)

analyze336.0ms (1.7%)

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

Compiled 10 to 7 computations (30% saved)

sample4.3s (21.9%)

Results
2.1s3617×body1024valid
1.1s1251×body2048valid
657.0ms1406×body512valid
390.0ms1976×body256valid
7.0ms6×body4096valid
Bogosity

preprocess25.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
11942
22742
34142
45642
58442
617242
723742
831842
939942
1044742
1145142
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify19.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11221
21721
32521
43421
55121
610321
714321
818721
923021
1025421
1125621
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
49.91%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶49.91%
(-.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
✓3.04%
(tan.f64 (+.f64 x eps))
✓3.77%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 20 to 6 computations (70% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite88.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120732
2299732
Stop Event
1×node limit
Counts
2 → 166
Calls
Call 1
Inputs
(-.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))))))))

simplify152.0ms (0.8%)

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)
(tan.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(tan.f64 (+.f64 eps x))
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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))

eval183.0ms (0.9%)

Compiler

Compiled 9355 to 3603 computations (61.5% saved)

prune120.0ms (0.6%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New27427301
Fresh000
Picked011
Done000
Total27428302
Error
0.22%
Counts
302 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
51.77%
(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)))
50.87%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
30.28%
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
30.18%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
▶35.01%
(/.f64 (sin.f64 eps) (cos.f64 eps))
50.84%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
33.83%
(-.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))
▶34.71%
(-.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))
▶29.98%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
33.9%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
66.18%
(-.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))
95.72%
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
50.08%
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
30.06%
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)) 1)) (tan.f64 x))
30.06%
(-.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))
66.23%
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
30.05%
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓49.91%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶51.38%
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
64.34%
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
74.06%
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
57.92%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
57.72%
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
51.21%
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
51.26%
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
▶50.72%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
64.43%
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
75.1%
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
Compiler

Compiled 1041 to 630 computations (39.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.12%
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
✓0.13%
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.31%
(*.f64 (tan.f64 x) (tan.f64 eps))
✓5.24%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 55 to 16 computations (70.9% saved)

series21.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite146.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
013122
1291122
24194122
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
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simplify261.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1328×associate-*r*
1154×associate-/l*
1034×associate-*l*
798×*-commutative
630×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082126886
1238726678
Stop Event
1×node limit
Counts
346 → 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 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
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(*.f64 (/.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 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
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)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (+.f64 (/.f64 (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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 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)))))))
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(/.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)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 -1 (*.f64 (tan.f64 x) (neg.f64 (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 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 (+.f64 1 (*.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 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (-.f64 (-.f64 -1 (*.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 1 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (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) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))) (-.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 1))))
(*.f64 (/.f64 1 (/.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (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 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))) (/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x))))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.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 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (tan.f64 eps) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))) (/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (*.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)) (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 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.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 (+.f64 1 (*.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 (+.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(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))))

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(cos.f64 eps)
✓0.26%
(/.f64 (sin.f64 eps) (cos.f64 eps))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite55.0ms (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
0710
114210
2179110
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))))

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
912×times-frac
828×distribute-rgt-in
816×associate-/r*
802×distribute-lft-in
798×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381105
1322809
21511589
35204589
Stop Event
1×node limit
Counts
57 → 77
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)))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(-.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)))
(-.f64 (+.f64 1 (cos.f64 eps)) 1)
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (cos.f64 eps) 1)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(log.f64 (exp.f64 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(log1p.f64 (expm1.f64 (cos.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 (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 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7)))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(-.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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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 1 (sin.f64 eps)) (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)
(-.f64 (+.f64 1 (cos.f64 eps)) 1)
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(log.f64 (exp.f64 (cos.f64 eps)))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(+.f64 1 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.34%
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓1.48%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
3.04%
(tan.f64 (+.f64 x eps))
3.77%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series6.0ms (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)))

rewrite116.0ms (0.6%)

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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simplify145.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
056515950
1167115194
Stop Event
1×node limit
Counts
204 → 281
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
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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 (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)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.15%
(log1p.f64 (tan.f64 x))
✓3.04%
(tan.f64 (+.f64 eps x))
✓7.1%
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
✓14.77%
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
Compiler

Compiled 38 to 13 computations (65.8% saved)

series69.0ms (0.3%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
34.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
12.0ms
x
@-inf
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
12.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
5.0ms
eps
@0
(tan.f64 (+.f64 eps x))
3.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))

rewrite166.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1406×distribute-rgt-in
1368×distribute-lft-in
614×associate-/r*
414×associate-/l*
410×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
129446
2391846
Stop Event
1×node limit
Counts
4 → 290
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(tan.f64 (+.f64 eps x))
(log1p.f64 (tan.f64 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) (sqrt.f64 (log1p.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2) (cbrt.f64 (log1p.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (tan.f64 x))) 1))))))

simplify223.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1318×associate-*r*
1038×associate-*l*
850×+-commutative
766×associate-+r+
734×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085119592
1250519370
Stop Event
1×node limit
Counts
362 → 488
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 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 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 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (*.f64 1/6 (/.f64 (pow.f64 (sin.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)))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -7/12 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 (neg.f64 (tan.f64 x)) 1))
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) (pow.f64 (+.f64 1 (tan.f64 x)) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (+.f64 1 (tan.f64 x)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) (pow.f64 (+.f64 1 (tan.f64 x)) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (tan.f64 x)) -1))) (+.f64 1 (pow.f64 (+.f64 1 (tan.f64 x)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (pow.f64 (+.f64 1 (tan.f64 x)) 2)) 1) (*.f64 (+.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (+.f64 1 (tan.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) (pow.f64 (+.f64 1 (tan.f64 x)) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (tan.f64 x)) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) (pow.f64 (+.f64 1 (tan.f64 x)) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) 3) 1) (*.f64 (+.f64 (tan.f64 x) 2) (+.f64 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (pow.f64 (+.f64 1 (tan.f64 x)) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) 1)))))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)) 1) (+.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)) (sqrt.f64 (+.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 x) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 x)) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (tan.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (tan.f64 x)) 2) (+.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(fma.f64 1 (+.f64 1 (tan.f64 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))) (sqrt.f64 (+.f64 1 (tan.f64 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2) (cbrt.f64 (+.f64 1 (tan.f64 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 eps x)))) 1)
(*.f64 (tan.f64 (+.f64 eps x)) 1)
(*.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (cbrt.f64 (sin.f64 (+.f64 eps x)))) (/.f64 (cos.f64 (+.f64 eps x)) (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (pow.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) 1) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x))))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(pow.f64 (tan.f64 (+.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))
(+.f64 (log1p.f64 (tan.f64 x)) 0)
(+.f64 0 (log1p.f64 (tan.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))) 1)
(*.f64 (log1p.f64 (tan.f64 x)) 1)
(*.f64 1 (log1p.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) (sqrt.f64 (log1p.f64 (tan.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2) (cbrt.f64 (log1p.f64 (tan.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(pow.f64 (log1p.f64 (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 2))
(log.f64 (+.f64 1 (tan.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (tan.f64 x))) 1))
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 (*.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (-.f64 1 (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 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))))))
(+.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 (/.f64 (cos.f64 x) (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 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))))))
(+.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)))))))))))))
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(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) 1) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x))))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x))))))
(pow.f64 (tan.f64 (+.f64 eps x)) 1)
(tan.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) 2)
(tan.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 3)
(tan.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 1/3)
(tan.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 eps x)))))
(tan.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3))
(tan.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(exp.f64 (log.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) 1))
(tan.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 eps x))))
(tan.f64 (+.f64 eps x))
(+.f64 (log1p.f64 (tan.f64 x)) 0)
(log1p.f64 (tan.f64 x))
(+.f64 0 (log1p.f64 (tan.f64 x)))
(log1p.f64 (tan.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (tan.f64 x)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x)))) 1)
(log1p.f64 (tan.f64 x))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))) 1)
(log1p.f64 (tan.f64 x))
(*.f64 (log1p.f64 (tan.f64 x)) 1)
(log1p.f64 (tan.f64 x))
(*.f64 1 (log1p.f64 (tan.f64 x)))
(log1p.f64 (tan.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) (sqrt.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2))
(log1p.f64 (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 2) (cbrt.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (tan.f64 x)))))
(pow.f64 (log1p.f64 (tan.f64 x)) 1)
(log1p.f64 (tan.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (tan.f64 x))) 2)
(log1p.f64 (tan.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (tan.f64 x))) 3)
(log1p.f64 (tan.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3) 1/3)
(log1p.f64 (tan.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 2))
(log.f64 (+.f64 1 (tan.f64 x)))
(log1p.f64 (tan.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (tan.f64 x)) 3))
(log1p.f64 (tan.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))
(exp.f64 (log.f64 (log1p.f64 (tan.f64 x))))
(log1p.f64 (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (tan.f64 x))) 1))
(log1p.f64 (tan.f64 x))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.12%
(/.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)))))
0.13%
(+.f64 (tan.f64 x) (tan.f64 eps))
0.31%
(*.f64 (tan.f64 x) (tan.f64 eps))
✓5.22%
(-.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)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite135.0ms (0.7%)

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
01592
133592
2490892
Stop Event
1×node limit
Counts
2 → 148
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 (/.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
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simplify262.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
946×associate-+r-
776×fma-def
718×associate-*r*
656×*-commutative
620×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055420542
1173719764
2787719764
Stop Event
1×node limit
Counts
196 → 284
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)))
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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 (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 (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 (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 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 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
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(*.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 -1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (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 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 -1 (neg.f64 (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 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (-.f64 -1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 (sqrt.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)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (cbrt.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (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)))))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (*.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)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (fma.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)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (cbrt.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 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) 1) (/.f64 (+.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) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.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 (*.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (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 (/.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 (+.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 (+.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 (+.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 (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))
(*.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)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.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 (*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (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))
(fabs.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(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))))

eval1.3s (6.7%)

Compiler

Compiled 75399 to 30411 computations (59.7% saved)

prune732.0ms (3.7%)

Pruning

65 alts after pruning (61 fresh and 4 done)

PrunedKeptTotal
New2123522175
Fresh13922
Picked101
Done145
Total2138652203
Error
0.14%
Counts
2203 → 65
Alt Table
Click to see full alt table
StatusErrorProgram
34.68%
(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)))
30.04%
(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)))
30.02%
(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)))
51.77%
(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)))
75.27%
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
34.97%
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
68.73%
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
31.3%
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
50.87%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
36.07%
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
30.05%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) 2))
30.18%
(/.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))
30.35%
(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
67.37%
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
35.49%
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
35.24%
(/.f64 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
46.64%
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
✓35.01%
(/.f64 (sin.f64 eps) (cos.f64 eps))
62.35%
(/.f64 (sin.f64 eps) 1)
30.1%
(/.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))))
30.19%
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
50.84%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
31.39%
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.76%
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
▶30%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
30.04%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
▶30.09%
(-.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))
36.31%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
✓29.98%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
30.01%
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
62.91%
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
30.06%
(-.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))
30.05%
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
39.02%
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))) (/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
51.92%
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
✓49.91%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
50.15%
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
51.12%
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
52.4%
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
50.73%
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
49.91%
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
▶50.66%
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
49.77%
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
51.53%
(-.f64 (tan.f64 (+.f64 eps x)) x)
44.62%
(-.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))
74.06%
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
57.92%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
64.52%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
51.21%
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
62.9%
(+.f64 1 (-.f64 (tan.f64 eps) 1))
68.91%
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
35.06%
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
51.26%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶34.85%
(tan.f64 eps)
71.47%
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
35.85%
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓50.72%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.83%
(log.f64 (exp.f64 (tan.f64 eps)))
75.1%
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
43.71%
(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))))
42.55%
(expm1.f64 (log1p.f64 (tan.f64 eps)))
69.63%
(exp.f64 (log.f64 (tan.f64 eps)))
37.91%
(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))
▶53.51%
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
67.47%
eps
Compiler

Compiled 2054 to 1337 computations (34.9% saved)

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.13%
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2%
(/.f64 1 (tan.f64 eps))
✓0.44%
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
✓5.24%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
Compiler

Compiled 67 to 29 computations (56.7% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite145.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1398×associate-/r/
1036×associate-/l/
998×distribute-lft-in
346×add-sqr-sqrt
340×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01489
132377
2477077
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
(/.f64 1 (tan.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 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((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 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(tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.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)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 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simplify229.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
986×associate-+r+
944×associate-+l+
944×+-commutative
766×associate-*r*
734×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056115224
1169014350
2705814350
Stop Event
1×node limit
Counts
222 → 282
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1/3 eps))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1/3 eps) (*.f64 -1/45 (pow.f64 eps 3))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1/3 eps) (+.f64 (*.f64 -1/45 (pow.f64 eps 3)) (*.f64 -2/945 (pow.f64 eps 5)))))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.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))))
(+.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))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 1 (*.f64 (neg.f64 (tan.f64 x)) 1)))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (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)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (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)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (/.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)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (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)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (/.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 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
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(/.f64 (-.f64 (*.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 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (cos.f64 x)) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1) (sin.f64 x))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(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 1 (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 0)
(-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (tan.f64 x) (neg.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 eps)))
(*.f64 -1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) -1) (neg.f64 (tan.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (tan.f64 eps)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (cbrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (tan.f64 eps) -1/2)) (/.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 eps) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 eps)))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 1 (tan.f64 eps))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) 1) (sqrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) 1) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 eps))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)
(pow.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 eps)))) 1)
(*.f64 1 (/.f64 1 (tan.f64 eps)))
(*.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 1 (tan.f64 eps)) 1)
(*.f64 (pow.f64 (tan.f64 eps) -1/2) (pow.f64 (tan.f64 eps) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 eps))) (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (/.f64 1 (cbrt.f64 (tan.f64 eps))))
(*.f64 -1 (/.f64 -1 (tan.f64 eps)))
(*.f64 (/.f64 -1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) -1) (pow.f64 (sqrt.f64 (tan.f64 eps)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 eps)) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (tan.f64 eps) -1/2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (tan.f64 eps) -1)
(pow.f64 (/.f64 1 (tan.f64 eps)) 1)
(pow.f64 (pow.f64 (tan.f64 eps) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 eps))) 3)
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 eps) 3)) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 eps) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 eps)))))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 eps))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 eps))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
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(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 eps)))
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(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 -1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
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(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 eps))))
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))
(*.f64 (/.f64 (tan.f64 x) -1) (neg.f64 (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (cbrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 eps))))
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (tan.f64 eps) -1/2)) (/.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 eps) -1/2)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 eps)))) (sqrt.f64 (tan.f64 x)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 eps)))) (cbrt.f64 (tan.f64 x)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 1 (tan.f64 eps))) (cbrt.f64 (tan.f64 x)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) 1) (sqrt.f64 (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 (tan.f64 eps)))) (sqrt.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (sqrt.f64 -1)) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) 1) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) (*.f64 (tan.f64 x) (cbrt.f64 (tan.f64 eps))))
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 eps) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (*.f64 -1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))) (cbrt.f64 (neg.f64 (tan.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 eps))) (tan.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (tan.f64 x) (tan.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 eps)))) 1)
(/.f64 1 (tan.f64 eps))
(*.f64 1 (/.f64 1 (tan.f64 eps)))
(/.f64 1 (tan.f64 eps))
(*.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 (/.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (tan.f64 eps))
(*.f64 (pow.f64 (tan.f64 eps) -1/2) (pow.f64 (tan.f64 eps) -1/2))
(/.f64 1 (tan.f64 eps))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 eps))) (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (/.f64 1 (cbrt.f64 (tan.f64 eps))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 -1 (/.f64 -1 (tan.f64 eps)))
(/.f64 1 (tan.f64 eps))
(*.f64 (/.f64 -1 (tan.f64 eps)) -1)
(/.f64 1 (tan.f64 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) -1) (pow.f64 (sqrt.f64 (tan.f64 eps)) -1))
(pow.f64 (sqrt.f64 (tan.f64 eps)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 eps)) -1))
(/.f64 1 (tan.f64 eps))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 eps))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 (/.f64 (pow.f64 (tan.f64 eps) -1/2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) -2) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (tan.f64 eps) -1)
(/.f64 1 (tan.f64 eps))
(pow.f64 (/.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (tan.f64 eps))
(pow.f64 (pow.f64 (tan.f64 eps) -1/2) 2)
(/.f64 1 (tan.f64 eps))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 eps))) 3)
(/.f64 1 (tan.f64 eps))
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 eps) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 eps) 3)))
(sqrt.f64 (pow.f64 (tan.f64 eps) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 eps)))))
(/.f64 1 (tan.f64 eps))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))
(exp.f64 (neg.f64 (log.f64 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) -1))
(/.f64 1 (tan.f64 eps))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 eps))) 1))
(/.f64 1 (tan.f64 eps))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 1 (tan.f64 eps))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.62%
(pow.f64 (tan.f64 eps) 3)
✓30.39%
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(pow.f64 (tan.f64 eps) 3)
1.0ms
eps
@-inf
(pow.f64 (tan.f64 eps) 3)
0.0ms
eps
@0
(pow.f64 (tan.f64 eps) 3)
0.0ms
eps
@0
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
0.0ms
eps
@inf
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))

rewrite54.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1306×add-sqr-sqrt
1276×*-un-lft-identity
1204×add-cube-cbrt
1192×add-cbrt-cube
1178×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
116616
2169316
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (tan.f64 eps) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3))))) (#(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 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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 expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 3/2) (pow.f64 (tan.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 2) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 eps) 2)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 3)))))))

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
998×associate-/r*
960×associate-/l*
820×unswap-sqr
772×distribute-lft-in
760×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211468
12781230
2987992
33164938
Stop Event
1×node limit
Counts
70 → 75
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps 3)
(+.f64 (pow.f64 eps 5) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 88/189 (pow.f64 eps 9)) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3))))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(*.f64 (tan.f64 eps) 1)
(*.f64 1 (tan.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 1 1/3) (tan.f64 eps))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(pow.f64 (tan.f64 eps) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))
(*.f64 (pow.f64 (tan.f64 eps) 3) 1)
(*.f64 1 (pow.f64 (tan.f64 eps) 3))
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (pow.f64 (tan.f64 eps) 3/2) (pow.f64 (tan.f64 eps) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (pow.f64 (tan.f64 eps) 2) (tan.f64 eps))
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3) (tan.f64 eps))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 eps) 2)) (cos.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 3)))
(exp.f64 (*.f64 3 (log.f64 (tan.f64 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 3)))
Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 1/3 (pow.f64 eps 3) (*.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))
(pow.f64 eps 3)
(+.f64 (pow.f64 eps 5) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (pow.f64 eps 5))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 5) (fma.f64 11/15 (pow.f64 eps 7) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 5)))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 88/189 (pow.f64 eps 9)) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3))))
(+.f64 (pow.f64 eps 5) (fma.f64 88/189 (pow.f64 eps 9) (fma.f64 11/15 (pow.f64 eps 7) (pow.f64 eps 3))))
(+.f64 (pow.f64 eps 5) (fma.f64 88/189 (pow.f64 eps 9) (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 3))))
(+.f64 (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 3)) (fma.f64 88/189 (pow.f64 eps 9) (pow.f64 eps 5)))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.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 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.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 (cbrt.f64 (tan.f64 eps)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3))
(+.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 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 1 1/3) (tan.f64 eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (tan.f64 eps) 1)
(+.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 (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)
(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)
(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)
(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)
(-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (tan.f64 eps) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 1 (pow.f64 (tan.f64 eps) 3))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (tan.f64 eps) 3/2) (pow.f64 (tan.f64 eps) 3/2))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (tan.f64 eps) 2) (tan.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 3))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3) (tan.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (tan.f64 eps) 2))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 eps) 2)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (tan.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(sqrt.f64 (pow.f64 (tan.f64 eps) 6))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(exp.f64 (*.f64 3 (log.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.36%
(pow.f64 (tan.f64 x) 2)
✓1.18%
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
3.04%
(tan.f64 (+.f64 eps x))
✓26.55%
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
Compiler

Compiled 33 to 15 computations (54.5% saved)

series27.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite150.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1520×associate-*r/
1252×associate-*l/
784×distribute-lft-in
332×associate-/r*
272×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
127137
2346037
Stop Event
1×node limit
Counts
3 → 196
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.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 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 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simplify152.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1022×associate-/l*
960×associate-*r*
800×associate-*l*
656×fma-def
472×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058211730
1157711180
Stop Event
1×node limit
Counts
244 → 297
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(*.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 (tan.f64 x) (/.f64 1 (tan.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (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 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 1 (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 1) (cos.f64 x))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 1) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (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)))
Outputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(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)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.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 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.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 (*.f64 (-.f64 1 (neg.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 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)))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 eps 4)) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (-.f64 1 (neg.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2))))))))
(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 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 1/6)))))) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1/2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6 1/6)))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x 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 eps)) (cos.f64 (+.f64 x 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 eps)) (cos.f64 (+.f64 x 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 eps)) (cos.f64 (+.f64 x 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 eps)) (cos.f64 (+.f64 x 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 eps)) (cos.f64 (+.f64 x 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 eps)) (cos.f64 (+.f64 x 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 eps)) (cos.f64 (+.f64 x 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 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.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 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (*.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 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (tan.f64 x) 2)
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(pow.f64 (tan.f64 x) 2)
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.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)))
(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 (tan.f64 x) (/.f64 1 (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.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) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 1 (*.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 1 (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 1) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) 1) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.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)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.13%
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.29%
(/.f64 (cos.f64 eps) (tan.f64 x))
✓0.33%
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
✓5.24%
(-.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))
Compiler

Compiled 76 to 19 computations (75% saved)

series38.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
18.0ms
eps
@inf
(/.f64 (cos.f64 eps) (tan.f64 x))
6.0ms
eps
@-inf
(-.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))
1.0ms
eps
@0
(-.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))
1.0ms
eps
@inf
(-.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))
1.0ms
x
@inf
(-.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))

rewrite121.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1654×associate-/r/
1060×associate-/l/
382×add-sqr-sqrt
378×pow1
378×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01681
135981
2532781
Stop Event
1×node limit
Counts
3 → 214
Calls
Call 1
Inputs
(-.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(/.f64 (cos.f64 eps) (tan.f64 x))
Outputs
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(expm1.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))))))

simplify154.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1036×associate-*r*
906×*-commutative
834×associate-*l*
742×associate-/l*
498×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073519190
1223418594
Stop Event
1×node limit
Counts
286 → 391
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 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (+.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 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (tan.f64 x) (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sin.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (*.f64 -1 (/.f64 (tan.f64 x) (cos.f64 eps))))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (tan.f64 eps) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (tan.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x)))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (tan.f64 x) (cos.f64 eps)))) (/.f64 (sin.f64 eps) (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (sin.f64 eps) 1) (/.f64 (tan.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (neg.f64 (tan.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(*.f64 (*.f64 -1 (/.f64 (tan.f64 x) (cos.f64 eps))) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (tan.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (tan.f64 x)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) 1) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 eps) 1) (tan.f64 x))
(*.f64 (/.f64 (tan.f64 eps) (/.f64 1 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 eps) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 eps) -1) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (*.f64 (sqrt.f64 (sin.f64 eps)) (tan.f64 x)))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (tan.f64 x)))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) 1)) (tan.f64 x))
(*.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) -1) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (neg.f64 (cos.f64 eps)))) (neg.f64 (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cos.f64 eps) (tan.f64 x))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) -1) (/.f64 (tan.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (neg.f64 (cos.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) 1) (/.f64 (tan.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (neg.f64 (cos.f64 eps))) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (/.f64 (cos.f64 eps) 1)) (tan.f64 x))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (/.f64 (cos.f64 eps) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) -1) (neg.f64 (/.f64 (tan.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (neg.f64 (neg.f64 (cos.f64 eps)))) (neg.f64 (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))) 1) (sqrt.f64 (/.f64 (tan.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (tan.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)) (cbrt.f64 (neg.f64 (cos.f64 eps)))) (cbrt.f64 (neg.f64 (tan.f64 x))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)
(pow.f64 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 eps) (/.f64 (neg.f64 (cos.f64 eps)) (tan.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))) 1)
(*.f64 1 (/.f64 (cos.f64 eps) (tan.f64 x)))
(*.f64 (cos.f64 eps) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (/.f64 1 (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (/.f64 1 (tan.f64 x))))
(*.f64 (/.f64 1 (tan.f64 x)) (cos.f64 eps))
(*.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (neg.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (cos.f64 eps) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (cos.f64 eps) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (cos.f64 eps) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (neg.f64 (cos.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 eps)) 1) (/.f64 (sqrt.f64 (cos.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 eps)) (tan.f64 x)) (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (cos.f64 eps)) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(*.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 eps))) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2))) (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (tan.f64 x)) (cbrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) 1) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) 1) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) -1)
(neg.f64 (/.f64 (cos.f64 eps) (neg.f64 (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (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 -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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) (*.f64 x (*.f64 x (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (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 (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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) (*.f64 x (*.f64 x (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(*.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 eps) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 1 (cos.f64 eps))) (/.f64 1 (tan.f64 x)))
(/.f64 (cos.f64 eps) (tan.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2))) (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(/.f64 (cos.f64 eps) (tan.f64 x))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (sqrt.f64 (cos.f64 eps)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 eps)) 1) (tan.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 eps)) (/.f64 (sqrt.f64 (cos.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (/.f64 1 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (/.f64 (cbrt.f64 (cos.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (tan.f64 x)) (cbrt.f64 (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (/.f64 1 (tan.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (/.f64 (cbrt.f64 (cos.f64 eps)) (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 eps) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) 1) 1) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) 1) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 eps) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 eps) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (cos.f64 eps) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 1)
(/.f64 (cos.f64 eps) (tan.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 2)
(/.f64 (cos.f64 eps) (tan.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 3)
(/.f64 (cos.f64 eps) (tan.f64 x))
(pow.f64 (pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 3) 1/3)
(/.f64 (cos.f64 eps) (tan.f64 x))
(pow.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) -1)
(/.f64 (cos.f64 eps) (tan.f64 x))
(neg.f64 (/.f64 (cos.f64 eps) (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (neg.f64 (tan.f64 x))))
(/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(/.f64 (cos.f64 eps) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 eps) (tan.f64 x)))))
(/.f64 (cos.f64 eps) (tan.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 eps) (tan.f64 x)) 3))
(/.f64 (cos.f64 eps) (tan.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (cos.f64 eps) (tan.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(/.f64 (cos.f64 eps) (tan.f64 x))
(exp.f64 (log.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(/.f64 (cos.f64 eps) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 eps) (tan.f64 x))) 1))
(/.f64 (cos.f64 eps) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 eps) (tan.f64 x))))
(/.f64 (cos.f64 eps) (tan.f64 x))

eval502.0ms (2.6%)

Compiler

Compiled 42713 to 16465 computations (61.5% saved)

prune511.0ms (2.6%)

Pruning

69 alts after pruning (62 fresh and 7 done)

PrunedKeptTotal
New1339141353
Fresh84856
Picked011
Done268
Total1349691418
Error
0.14%
Counts
1418 → 69
Alt Table
Click to see full alt table
StatusErrorProgram
34.68%
(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)))
30.02%
(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)))
30.04%
(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)))
51.92%
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
75.27%
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
34.97%
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
68.73%
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
31.3%
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
50.87%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
▶36.07%
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
30.05%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) 2))
30.18%
(/.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))
30.35%
(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
67.37%
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
35.49%
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
35.24%
(/.f64 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
46.64%
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
✓35.01%
(/.f64 (sin.f64 eps) (cos.f64 eps))
▶62.35%
(/.f64 (sin.f64 eps) 1)
30.1%
(/.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))))
30.19%
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
50.84%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
31.39%
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.76%
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
✓30%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
67.04%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
47.7%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
30.04%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
✓30.09%
(-.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))
36.31%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
✓29.98%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶30.01%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
31.53%
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
62.91%
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
30.05%
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
39.02%
(-.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))) (/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
51.92%
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
✓49.91%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
50.15%
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
51.12%
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
50.73%
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
49.91%
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
▶49.77%
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
50.23%
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
51.53%
(-.f64 (tan.f64 (+.f64 eps x)) x)
44.62%
(-.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))
74.06%
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
57.92%
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
64.52%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
51.21%
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
62.9%
(+.f64 1 (-.f64 (tan.f64 eps) 1))
35.06%
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
51.26%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
✓34.85%
(tan.f64 eps)
71.47%
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
35.85%
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓50.72%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.83%
(log.f64 (exp.f64 (tan.f64 eps)))
75.1%
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
▶43.71%
(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))))
42.55%
(expm1.f64 (log1p.f64 (tan.f64 eps)))
69.63%
(exp.f64 (log.f64 (tan.f64 eps)))
37.91%
(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))
86.91%
(cbrt.f64 (pow.f64 eps 3))
63.93%
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
63.92%
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
67.51%
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
76.47%
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
67.47%
eps
Compiler

Compiled 2075 to 1369 computations (34% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.12%
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
0.13%
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.15%
(fma.f64 (tan.f64 x) (tan.f64 eps) -1)
✓5.24%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
Compiler

Compiled 56 to 20 computations (64.3% saved)

series22.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
1.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
1.0ms
eps
@0
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
1.0ms
eps
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))

rewrite154.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1626×associate-/r*
1030×associate-/l*
654×associate-/r/
438×associate-/l/
324×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014109
1306101
24308101
Stop Event
1×node limit
Counts
3 → 245
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (tan.f64 x) (tan.f64 eps) -1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
Outputs
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simplify228.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1128×associate-*r*
882×associate-/r*
870×associate-*l*
754×distribute-lft-in
740×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068624065
1206623857
Stop Event
1×node limit
Counts
317 → 445
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.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)) (*.f64 1/3 (/.f64 (pow.f64 (sin.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 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 2) (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)) (*.f64 (+.f64 1/3 (+.f64 (/.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 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (*.f64 (+.f64 1/3 (+.f64 (/.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 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (cos.f64 x))))) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)) (*.f64 (+.f64 1/3 (+.f64 (/.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 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 3)))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
-1
(-.f64 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)) 1)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
-1
(-.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) 1)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) 1)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) 1)
(-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)
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(neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))
(log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(exp.f64 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) 1)
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 -1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1)
(*.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) -1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2) (*.f64 0 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (/.f64 -1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 -1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2) (*.f64 0 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1) (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2) (*.f64 0 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(*.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(*.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2) (*.f64 0 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 3)
(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.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 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (*.f64 (+.f64 (/.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)) (*.f64 1/3 (/.f64 (pow.f64 (sin.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 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 2) (sin.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (+.f64 (/.f64 (+.f64 1 (/.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/3)) (pow.f64 x 3) (+.f64 (/.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 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)))))))
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(*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (+.f64 -1 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))))
(*.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))
(/.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))
(*.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(*.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (-.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2) (*.f64 0 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(*.f64 (+.f64 0 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)) (/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3)) (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(pow.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3) 1/3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.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))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 1))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))

localize6.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1%
(cbrt.f64 (tan.f64 eps))
✓1.13%
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
Compiler

Compiled 14 to 7 computations (50% saved)

series6.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
2.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
1.0ms
eps
@0
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
0.0ms
eps
@0
(cbrt.f64 (tan.f64 eps))
0.0ms
eps
@inf
(cbrt.f64 (tan.f64 eps))

rewrite54.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1300×add-sqr-sqrt
1270×*-un-lft-identity
1198×add-cube-cbrt
1186×add-cbrt-cube
1172×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116614
2168814
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(cbrt.f64 (tan.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 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(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 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 1/6) (*.f64 (pow.f64 (tan.f64 eps) 1/6) (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 (cbrt.f64 (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (tan.f64 eps) 1/6)) (pow.f64 (tan.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3) (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) 3) (cbrt.f64 (tan.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 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 tan.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 1/6) (pow.f64 (tan.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps))))))))

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
866×unswap-sqr
852×fma-def
842×distribute-lft-in
828×distribute-rgt-in
782×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911176
1194876
2654648
32272638
Stop Event
1×node limit
Counts
60 → 54
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (tan.f64 eps) 1)
(*.f64 1 (tan.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (tan.f64 eps) 1/6) (*.f64 (pow.f64 (tan.f64 eps) 1/6) (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 (cbrt.f64 (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1) (cbrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (tan.f64 eps) 1/6)) (pow.f64 (tan.f64 eps) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3) (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) 3) (cbrt.f64 (tan.f64 eps)))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.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)))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1)
(*.f64 (cbrt.f64 (tan.f64 eps)) 1)
(*.f64 1 (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (tan.f64 eps) 1/6) (pow.f64 (tan.f64 eps) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3))
(/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 1)
(pow.f64 (tan.f64 eps) 1/3)
(pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 eps))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 eps))))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps))))
Outputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3)
(cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.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 (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 (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 (tan.f64 eps) 1/6) (*.f64 (pow.f64 (tan.f64 eps) 1/6) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) (*.f64 (cbrt.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 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (tan.f64 eps) 1/6)) (pow.f64 (tan.f64 eps) 1/6))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3) (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 3))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) 3) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(*.f64 (sin.f64 eps) (/.f64 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)
(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)
(-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (cbrt.f64 (tan.f64 eps)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 1 (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (pow.f64 (tan.f64 eps) 1/6) (pow.f64 (tan.f64 eps) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (tan.f64 eps))))
(pow.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 1/6) 4)
(/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(pow.f64 (tan.f64 eps) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1))
(+.f64 (cbrt.f64 (tan.f64 eps)) 0)
(cbrt.f64 (tan.f64 eps))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.24%
(expm1.f64 (tan.f64 x))
✓0.55%
(log1p.f64 (expm1.f64 (tan.f64 x)))
3.04%
(tan.f64 (+.f64 eps x))
✓10.56%
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
Compiler

Compiled 29 to 8 computations (72.4% saved)

series2.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite91.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1340×associate-*r/
1112×*-commutative
1050×associate-*l/
686×distribute-lft-in
336×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
124335
2322435
Stop Event
1×node limit
Counts
3 → 169
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (tan.f64 x)))
(expm1.f64 (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (tan.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (tan.f64 x))) (sqrt.f64 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 2) (cbrt.f64 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1) (+.f64 (expm1.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1)) (+.f64 (expm1.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1)) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1) 1) (+.f64 (expm1.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (tan.f64 x))))))))

simplify148.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1112×+-commutative
732×associate-*r*
660×associate-+r-
628×fma-def
612×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052211095
1145810613
2732110613
Stop Event
1×node limit
Counts
217 → 277
Calls
Call 1
Inputs
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 x))) 1)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
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(/.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 x) 2) (pow.f64 (tan.f64 (+.f64 eps 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 (cos.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(+.f64 (expm1.f64 (tan.f64 x)) 0)
(+.f64 1 (+.f64 (expm1.f64 (tan.f64 x)) -1))
(+.f64 1 (-.f64 (expm1.f64 (tan.f64 x)) 1))
(+.f64 (exp.f64 (tan.f64 x)) -1)
(+.f64 -1 (exp.f64 (tan.f64 x)))
(-.f64 (exp.f64 (tan.f64 x)) 1)
(-.f64 (+.f64 (expm1.f64 (tan.f64 x)) 2) 2)
(*.f64 (expm1.f64 (tan.f64 x)) 1)
(*.f64 1 (expm1.f64 (tan.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (tan.f64 x))) (sqrt.f64 (expm1.f64 (tan.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 2) (cbrt.f64 (expm1.f64 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1) (+.f64 (expm1.f64 (tan.f64 x)) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1)) (+.f64 (expm1.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1)) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1) 1) (+.f64 (expm1.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))
(pow.f64 (expm1.f64 (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 2))
(log.f64 (exp.f64 (expm1.f64 (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 3))
(exp.f64 (log.f64 (expm1.f64 (tan.f64 x))))
(log1p.f64 (expm1.f64 (expm1.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 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 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.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 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 eps 4)) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2))))))))
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x
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(fma.f64 17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
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(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
x
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(fma.f64 (*.f64 x x) 1/2 x)
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(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.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 (cos.f64 x) (sin.f64 (+.f64 eps x)) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps 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))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(tan.f64 x)
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 x)))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(tan.f64 x)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(fabs.f64 (tan.f64 x))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(tan.f64 x)
(+.f64 (expm1.f64 (tan.f64 x)) 0)
(expm1.f64 (tan.f64 x))
(+.f64 1 (+.f64 (expm1.f64 (tan.f64 x)) -1))
(expm1.f64 (tan.f64 x))
(+.f64 1 (-.f64 (expm1.f64 (tan.f64 x)) 1))
(expm1.f64 (tan.f64 x))
(+.f64 (exp.f64 (tan.f64 x)) -1)
(expm1.f64 (tan.f64 x))
(+.f64 -1 (exp.f64 (tan.f64 x)))
(expm1.f64 (tan.f64 x))
(-.f64 (exp.f64 (tan.f64 x)) 1)
(expm1.f64 (tan.f64 x))
(-.f64 (+.f64 (expm1.f64 (tan.f64 x)) 2) 2)
(expm1.f64 (tan.f64 x))
(*.f64 (expm1.f64 (tan.f64 x)) 1)
(expm1.f64 (tan.f64 x))
(*.f64 1 (expm1.f64 (tan.f64 x)))
(expm1.f64 (tan.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (tan.f64 x))) (sqrt.f64 (expm1.f64 (tan.f64 x))))
(expm1.f64 (tan.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 2))
(expm1.f64 (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 2) (cbrt.f64 (expm1.f64 (tan.f64 x))))
(expm1.f64 (tan.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1) (+.f64 (expm1.f64 (tan.f64 x)) 2))
(/.f64 (fma.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x)) -1) (+.f64 2 (expm1.f64 (tan.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 (tan.f64 x))) (+.f64 1 (exp.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) -1) (+.f64 (+.f64 2 (expm1.f64 (tan.f64 x))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 x)) 3)) (+.f64 (expm1.f64 (tan.f64 x)) (+.f64 2 (exp.f64 (*.f64 2 (tan.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 x)) 3)) (+.f64 2 (+.f64 (exp.f64 (tan.f64 x)) (expm1.f64 (*.f64 2 (tan.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1)) (+.f64 (expm1.f64 (tan.f64 x)) 2))
(/.f64 (fma.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x)) -1) (+.f64 2 (expm1.f64 (tan.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 (tan.f64 x))) (+.f64 1 (exp.f64 (tan.f64 x))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1)) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) -1) (+.f64 (+.f64 2 (expm1.f64 (tan.f64 x))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 x)) 3)) (+.f64 (expm1.f64 (tan.f64 x)) (+.f64 2 (exp.f64 (*.f64 2 (tan.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 x)) 3)) (+.f64 2 (+.f64 (exp.f64 (tan.f64 x)) (expm1.f64 (*.f64 2 (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) 1) 1) (+.f64 (expm1.f64 (tan.f64 x)) 2))
(/.f64 (fma.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x)) -1) (+.f64 2 (expm1.f64 (tan.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 (tan.f64 x))) (+.f64 1 (exp.f64 (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (tan.f64 x)) (exp.f64 (tan.f64 x))) (+.f64 (expm1.f64 (tan.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (tan.f64 x)) 3) -1) (+.f64 (+.f64 2 (expm1.f64 (tan.f64 x))) (exp.f64 (+.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 x)) 3)) (+.f64 (expm1.f64 (tan.f64 x)) (+.f64 2 (exp.f64 (*.f64 2 (tan.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 x)) 3)) (+.f64 2 (+.f64 (exp.f64 (tan.f64 x)) (expm1.f64 (*.f64 2 (tan.f64 x))))))
(pow.f64 (expm1.f64 (tan.f64 x)) 1)
(expm1.f64 (tan.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 (tan.f64 x))) 2)
(expm1.f64 (tan.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 x))) 3)
(expm1.f64 (tan.f64 x))
(pow.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 3) 1/3)
(expm1.f64 (tan.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 2))
(fabs.f64 (expm1.f64 (tan.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (tan.f64 x))))
(expm1.f64 (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 x)))))
(expm1.f64 (tan.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 x)) 3))
(expm1.f64 (tan.f64 x))
(exp.f64 (log.f64 (expm1.f64 (tan.f64 x))))
(expm1.f64 (tan.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 (tan.f64 x))))
(expm1.f64 (tan.f64 x))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.13%
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2%
(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))))
0.31%
(*.f64 (tan.f64 x) (tan.f64 eps))
5.24%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 90 to 27 computations (70% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(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))))
0.0ms
x
@0
(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))))
0.0ms
x
@inf
(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))))
0.0ms
x
@-inf
(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))))
0.0ms
eps
@-inf
(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))))

rewrite120.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1418×associate-/r*
1096×associate-/l*
834×associate-/r/
332×add-sqr-sqrt
328×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551
132951
2442551
Stop Event
1×node limit
Counts
1 → 123
Calls
Call 1
Inputs
(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))))
Outputs
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simplify254.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1626×associate--r+
634×associate-+l+
604×fma-def
604×associate--r-
470×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042016003
1127615627
2658615603
Stop Event
1×node limit
Counts
147 → 213
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)))
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(/.f64 (sqrt.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))))) (sqrt.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 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (-.f64 (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))))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)))))
(/.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 (*.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)))) 1) (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (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 (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))) 3) 1) (+.f64 (*.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)))) (+.f64 1 (*.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 (-.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 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 (neg.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 (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)))))))))
(/.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)) 1) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.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 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (neg.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))
(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))
(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 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(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)))
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))))
(fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
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(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 (cos.f64 x) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 x)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (+.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (neg.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 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (*.f64 (sin.f64 x) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2))
(fabs.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

eval804.0ms (4.1%)

Compiler

Compiled 54998 to 21574 computations (60.8% saved)

prune454.0ms (2.3%)

Pruning

79 alts after pruning (68 fresh and 11 done)

PrunedKeptTotal
New1523181541
Fresh75057
Picked011
Done11011
Total1531791610
Error
0.14%
Counts
1610 → 79
Alt Table
Click to see full alt table
StatusErrorProgram
34.68%
(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)))
30.02%
(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)))
51.92%
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
70.12%
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
75.27%
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
69.96%
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
37.09%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3)
36.15%
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3)
34.97%
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
61.72%
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
61.7%
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
67.56%
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) 3)
68.73%
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
31.3%
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
50.87%
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
✓36.07%
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
30.05%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) 2))
30.18%
(/.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))
30.35%
(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
67.37%
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
35.49%
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
35.24%
(/.f64 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
46.64%
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
✓35.01%
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓62.35%
(/.f64 (sin.f64 eps) 1)
30.1%
(/.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))))
30.19%
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
50.84%
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
33.89%
(-.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 (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)))))))
30.2%
(-.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
✓30%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
67.04%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
47.7%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
30.04%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
✓29.98%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
30.09%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (log1p.f64 (expm1.f64 (tan.f64 x))))
✓30.01%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
30.03%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
48.3%
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
31.53%
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
44.71%
(-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) -1))
62.91%
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
30.05%
(-.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))) (tan.f64 x))
30.05%
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
51.92%
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
✓49.91%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
50.15%
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
51.12%
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
50.73%
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
51.64%
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
52.3%
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
50.14%
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fabs.f64 (expm1.f64 (tan.f64 x)))))
✓49.77%
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
50.23%
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
51.53%
(-.f64 (tan.f64 (+.f64 eps x)) x)
44.62%
(-.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))
74.06%
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
64.52%
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
51.21%
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
44.65%
(+.f64 1 (-.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1))
62.9%
(+.f64 1 (-.f64 (tan.f64 eps) 1))
35.06%
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
51.26%
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
✓34.85%
(tan.f64 eps)
71.47%
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
35.85%
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓50.72%
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.83%
(log.f64 (exp.f64 (tan.f64 eps)))
75.1%
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓43.71%
(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))))
42.55%
(expm1.f64 (log1p.f64 (tan.f64 eps)))
69.63%
(exp.f64 (log.f64 (tan.f64 eps)))
37.91%
(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))
86.91%
(cbrt.f64 (pow.f64 eps 3))
63.93%
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
63.92%
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
67.51%
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
76.47%
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
67.47%
eps
Compiler

Compiled 1220 to 814 computations (33.3% saved)

regimes572.0ms (2.9%)

Counts
112 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3)
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fabs.f64 (expm1.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(+.f64 1 (-.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(-.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 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.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 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)) (-.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 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))) (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)))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.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)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)) 1)) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.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) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (/.f64 (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 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))) (/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
Calls

3 calls:

326.0ms
x
126.0ms
eps
83.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.67%6x
0.4%3eps
8.53%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1719 to 716 computations (58.3% saved)

bsearch97.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
67.0ms
2.4925630518053548e-24
6.386397082674076e-10
28.0ms
-0.0006707169966393973
-1.1405851441988845e-8
Results
35.0ms9×body2048valid
28.0ms199×body256valid
21.0ms56×body1024valid
6.0ms24×body512valid
Compiler

Compiled 1042 to 660 computations (36.7% saved)

regimes680.0ms (3.5%)

Counts
106 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3)
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fabs.f64 (expm1.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(+.f64 1 (-.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(-.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 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.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 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)) (-.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 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))) (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)))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.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)))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 eps (+.f64 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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
Calls

3 calls:

353.0ms
x
194.0ms
eps
102.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.67%6x
0.4%3eps
8.53%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1482 to 623 computations (58% saved)

bsearch66.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
2.4925630518053548e-24
6.386397082674076e-10
27.0ms
-0.0006707169966393973
-1.1405851441988845e-8
Results
27.0ms200×body256valid
19.0ms50×body1024valid
9.0ms34×body512valid
2.0ms4×body2048valid
Compiler

Compiled 1042 to 660 computations (36.7% saved)

regimes853.0ms (4.3%)

Counts
105 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3)
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fabs.f64 (expm1.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(+.f64 1 (-.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(-.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 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.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 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)) (-.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 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))) (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)))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (+.f64 (tan.f64 x) 2) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) 2))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
Calls

3 calls:

388.0ms
x
227.0ms
eps
201.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.67%6x
0.41%3eps
8.53%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1448 to 604 computations (58.3% saved)

bsearch110.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
2.4925630518053548e-24
6.386397082674076e-10
70.0ms
-0.0006707169966393973
-1.1405851441988845e-8
Results
73.0ms212×body256valid
18.0ms47×body1024valid
6.0ms24×body512valid
3.0ms5×body2048valid
Compiler

Compiled 1042 to 660 computations (36.7% saved)

regimes739.0ms (3.8%)

Counts
102 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3)
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fabs.f64 (expm1.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(+.f64 1 (-.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(-.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 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.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 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (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 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(-.f64 (/.f64 (log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)) (-.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 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.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 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2)))) (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)))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
Calls

3 calls:

446.0ms
x
162.0ms
eps
99.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.73%6x
0.58%3eps
8.62%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1341 to 554 computations (58.7% saved)

bsearch82.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
51.0ms
2.4925630518053548e-24
6.386397082674076e-10
30.0ms
-1.1405851441988845e-8
-2.5512743636907702e-11
Results
43.0ms200×body256valid
24.0ms56×body1024valid
7.0ms27×body512valid
3.0ms5×body2048valid
Compiler

Compiled 664 to 444 computations (33.1% saved)

regimes452.0ms (2.3%)

Counts
71 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3)
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fabs.f64 (expm1.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

247.0ms
x
109.0ms
eps
79.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.74%6x
0.59%3eps
8.64%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 673 to 328 computations (51.3% saved)

bsearch69.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
2.4925630518053548e-24
6.386397082674076e-10
33.0ms
-1.1405851441988845e-8
-2.5512743636907702e-11
Results
29.0ms193×body256valid
24.0ms59×body1024valid
8.0ms30×body512valid
4.0ms6×body2048valid
Compiler

Compiled 644 to 424 computations (34.2% saved)

regimes273.0ms (1.4%)

Counts
68 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))))
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 eps))) 3) 3)
(pow.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fabs.f64 (expm1.f64 (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
Calls

3 calls:

116.0ms
x
77.0ms
eps
63.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
21.33%3x
18.3%3eps
19.63%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 621 to 310 computations (50.1% saved)

bsearch83.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
2.4925630518053548e-24
6.386397082674076e-10
30.0ms
-1.1405851441988845e-8
-2.5512743636907702e-11
Results
44.0ms195×body256valid
22.0ms52×body1024valid
9.0ms35×body512valid
4.0ms6×body2048valid
Compiler

Compiled 734 to 514 computations (30% saved)

regimes298.0ms (1.5%)

Counts
61 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) x))) 1))
Outputs
(tan.f64 eps)
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(tan.f64 eps)
Calls

3 calls:

124.0ms
eps
115.0ms
x
44.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
21.33%3x
18.59%3eps
19.63%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 546 to 273 computations (50% saved)

bsearch78.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
0.37530901969596486
63.68798198393548
52.0ms
-25665253.125613548
-0.0006707169966393973
Results
27.0ms188×body256valid
18.0ms49×body1024valid
9.0ms34×body512valid
1.0ms1×body2048valid
Compiler

Compiled 371 to 282 computations (24% saved)

regimes398.0ms (2%)

Counts
55 → 3
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Outputs
(tan.f64 eps)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(tan.f64 eps)
Calls

3 calls:

165.0ms
eps
116.0ms
x
105.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
21.38%3x
18.64%3eps
19.68%3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 449 to 217 computations (51.7% saved)

bsearch99.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
63.0ms
0.37530901969596486
63.68798198393548
36.0ms
-25665253.125613548
-0.0006707169966393973
Results
66.0ms193×body256valid
20.0ms49×body1024valid
7.0ms27×body512valid
2.0ms3×body2048valid
Compiler

Compiled 371 to 299 computations (19.4% saved)

regimes144.0ms (0.7%)

Accuracy

Total -41.3b remaining (-185.2%)

Threshold costs -41.3b (-185.2%)

Counts
54 → 1
Calls
Call 1
Inputs
eps
(tan.f64 eps)
(/.f64 (sin.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(cbrt.f64 (pow.f64 eps 3))
(/.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 (sin.f64 eps) (-.f64 (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 (tan.f64 x) 2) -2))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(+.f64 (+.f64 (tan.f64 (+.f64 eps x)) 1) (+.f64 (neg.f64 (tan.f64 x)) -1))
(exp.f64 (log.f64 (tan.f64 eps)))
(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)
(pow.f64 (pow.f64 (tan.f64 eps) 1/3) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)))
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1))
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (tan.f64 eps)) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (tan.f64 eps))) 1) 3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 -1)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (fma.f64 (*.f64 x x) 1/2 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) x)) 1))
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (sqrt.f64 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 1/6) 2) 3)
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (sqrt.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (tan.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
Outputs
(tan.f64 eps)
Calls

3 calls:

60.0ms
x
41.0ms
eps
32.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
34.85%1x
34.85%1eps
34.85%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 436 to 209 computations (52.1% saved)

simplify49.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
180×*-commutative
130×distribute-lft-neg-in
116×+-commutative
82×neg-sub0
68×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0891240
11381240
21851240
32311240
42901240
53621240
64441240
75171240
85571240
95701240
105721240
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -7366891713276647/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -4911261142184431/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -6800207735332289/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -5440166188265831/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -1239148965104995/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -5440166188265831/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))))
(if (<=.f64 eps -48999163945791/72057594037927936) (tan.f64 eps) (if (<=.f64 eps 3422735716801577/9007199254740992) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 eps)))
(if (<=.f64 eps -48999163945791/72057594037927936) (tan.f64 eps) (if (<=.f64 eps 3422735716801577/9007199254740992) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 eps)))
(tan.f64 eps)
eps
Outputs
(if (<=.f64 eps -7366891713276647/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 eps eps) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -4911261142184431/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -6800207735332289/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -6800207735332289/37778931862957161709568) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -5440166188265831/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -1239148965104995/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (or (<=.f64 eps -1239148965104995/302231454903657293676544) (not (<=.f64 eps 5996272065288561/9671406556917033397649408))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -5440166188265831/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x)) (if (<=.f64 eps 5996272065288561/9671406556917033397649408) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))))
(if (or (<=.f64 eps -5440166188265831/1208925819614629174706176) (not (<=.f64 eps 5996272065288561/9671406556917033397649408))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -48999163945791/72057594037927936) (tan.f64 eps) (if (<=.f64 eps 3422735716801577/9007199254740992) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 eps)))
(if (<=.f64 eps -48999163945791/72057594037927936) (tan.f64 eps) (if (<=.f64 eps 3422735716801577/9007199254740992) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 eps)))
(tan.f64 eps)
eps
Compiler

Compiled 436 to 262 computations (39.9% saved)

soundness473.0ms (2.4%)

Algorithm
4×egg-herbie
Rules
1022×associate-/l*
1014×associate-+r-
1014×associate-+r-
1014×associate-+r-
960×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054613904
1156913404
2729513404
054613904
1156913404
2729513404
058211730
1157711180
054613904
1156913404
2729513404
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 550 to 305 computations (44.5% saved)

end220.0ms (1.1%)

Compiler

Compiled 418 to 206 computations (50.7% saved)

Profiling

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