Details

Time bar (total: 23.1s)

analyze442.0ms (1.9%)

Algorithm
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)

sample4.2s (18%)

Results
2.0s3543×body1024valid
1.1s1228×body2048valid
575.0ms1475×body512valid
428.0ms2008×body256valid
2.0msbody4096valid
Bogosity

preprocess16.0ms (0.1%)

Algorithm
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
saturated
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)

simplify23.0ms (0.1%)

Algorithm
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
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
39.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
0.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series33.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
25.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
@0
(tan.f64 (+.f64 x eps))
1.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
eps
@0
(tan.f64 (+.f64 x eps))

rewrite97.0ms (0.4%)

Algorithm
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
0937
120737
2299737
Stop Event
node limit
Counts
3 → 199
Calls
Call 1
Inputs
(tan.f64 (+.f64 x eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 x)
Outputs
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simplify135.0ms (0.6%)

Algorithm
egg-herbie
Rules
818×associate-*r*
778×fma-def
672×associate-/l*
654×associate-*l*
514×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061614063
1170713469
Stop Event
node limit
Counts
259 → 341
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
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(/.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)) 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 (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 (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 (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 (-.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))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.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)))
(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)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (*.f64 x x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x))))))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (*.f64 x x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 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 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
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(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)) (*.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps 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 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (+.f64 (pow.f64 (tan.f64 x) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (fma.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 6)))))
(/.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 (tan.f64 (+.f64 eps x)) (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 (tan.f64 (+.f64 eps x)) (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 (tan.f64 (+.f64 eps x)) (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 (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 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 (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 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (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))
(/.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 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(-.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 (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 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 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 (sin.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (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)
(log.f64 (+.f64 1 (expm1.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)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)

eval113.0ms (0.5%)

Compiler

Compiled 9844 to 3811 computations (61.3% saved)

prune117.0ms (0.5%)

Pruning

53 alts after pruning (52 fresh and 1 done)

PrunedKeptTotal
New28952341
Fresh000
Picked011
Done000
Total28953342
Error
0.2b
Counts
342 → 53
Alt Table
Click to see full alt table
StatusErrorProgram
33.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
53.0b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
39.6b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
22.3b
(/.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)))
39.2b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
52.4b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
39.9b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
24.8b
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.3b
(-.f64 (/.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))))) (tan.f64 x))
28.6b
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
24.8b
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
27.0b
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
24.8b
(-.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))
22.2b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (tan.f64 x))
23.2b
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
39.2b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
39.2b
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
61.0b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
39.5b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
39.3b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
49.1b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
22.2b
(-.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))
22.2b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.2b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
39.3b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
50.5b
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
39.1b
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
39.9b
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
40.1b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
40.1b
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
50.4b
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
39.7b
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
40.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
39.4b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
45.7b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
50.4b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
42.5b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
52.6b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
43.8b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
33.1b
(+.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)))))))))))))
32.5b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
32.6b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
39.3b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
45.7b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
50.7b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
51.4b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 2233 to 1418 computations (36.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
2.6b
(-.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
4.0ms
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))))
3.0ms
eps
@0
(-.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
@-inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

rewrite137.0ms (0.6%)

Algorithm
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
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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simplify422.0ms (1.8%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.1b
(-.f64 (tan.f64 (+.f64 x eps)) x)
3.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite78.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1034×associate-*r/
928×*-commutative
844×associate-*l/
632×distribute-lft-in
620×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118517
2268517
Stop Event
node limit
Counts
1 → 99
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) x)
Outputs
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eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) 1) (+.f64 x (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps))))) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))) (cbrt.f64 (+.f64 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(exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 x))))))

simplify123.0ms (0.5%)

Algorithm
egg-herbie
Rules
1322×associate-+r+
1060×+-commutative
926×associate-/r/
724×associate-+l-
564×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03497265
110206957
248376949
Stop Event
node limit
Counts
123 → 186
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (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 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.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 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 (+.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)))))) x)
(-.f64 (+.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)))) x)
(-.f64 (+.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))))))))))))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 x))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 (neg.f64 x) (tan.f64 (+.f64 x eps)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 (+.f64 x eps)) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 (+.f64 x eps)) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 (+.f64 x eps)) x))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1)
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 (+.f64 x eps)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 (+.f64 x eps)))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (-.f64 (tan.f64 (+.f64 x eps)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (-.f64 x (tan.f64 (+.f64 x eps))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))) (-.f64 (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (+.f64 x (tan.f64 (+.f64 x eps))))
(/.f64 (+.f64 x (tan.f64 (+.f64 x eps))) (/.f64 (+.f64 x (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))) (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))) (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (/.f64 (+.f64 x (tan.f64 (+.f64 x eps))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))) (/.f64 (+.f64 x (tan.f64 (+.f64 x eps))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (tan.f64 (+.f64 x eps))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (+.f64 x (tan.f64 (+.f64 x eps))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (neg.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) 1) (neg.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x))) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2)) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (tan.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (+.f64 x (tan.f64 (+.f64 x eps))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) 1) (+.f64 x (tan.f64 (+.f64 x eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps))))) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (neg.f64 (+.f64 x (tan.f64 (+.f64 x eps))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.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 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 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 x x))) (cos.f64 eps)))
(+.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 x (*.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))
(+.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 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.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 (*.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 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (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 (/.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) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 x x))) (cos.f64 eps))))
(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 1/6))) (pow.f64 x 3) (+.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 x (*.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
(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))))) (+.f64 -1/3 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (*.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (sqrt.f64 (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))) (hypot.f64 (pow.f64 (neg.f64 x) 3/2) (pow.f64 (tan.f64 (+.f64 eps x)) 3/2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 (+.f64 eps x)))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 eps x))))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x)))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 eps x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) 1) (neg.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x)))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (sqrt.f64 (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))) (hypot.f64 (pow.f64 (neg.f64 x) 3/2) (pow.f64 (tan.f64 (+.f64 eps x)) 3/2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x))) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 (+.f64 eps x)))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 eps x))))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x)))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2)) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 eps x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (tan.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 x (pow.f64 x 3))) (+.f64 x (tan.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (fma.f64 x x (pow.f64 (tan.f64 (+.f64 eps x)) 2))) (-.f64 (tan.f64 (+.f64 eps x)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (+.f64 x (tan.f64 (+.f64 x eps))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) 3) (pow.f64 x 6)) (+.f64 x (tan.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 x 6)) (*.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (fma.f64 x (*.f64 x (fma.f64 x x (pow.f64 (tan.f64 (+.f64 eps x)) 2))) (pow.f64 (tan.f64 (+.f64 eps x)) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x))))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 x 6)) (*.f64 (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))) (fma.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (pow.f64 (tan.f64 (+.f64 eps x)) 6)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) 1) (+.f64 x (tan.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps))))) (sqrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 x (tan.f64 (+.f64 x eps)))))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps)))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 1)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 2)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)) 3)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 3) 1/3)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(neg.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x x)) (neg.f64 (+.f64 x (tan.f64 (+.f64 x eps))))))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(neg.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 x eps))))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 2))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) 2))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) x))))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) 3))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) x)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
3.5b
(sin.f64 (+.f64 x eps))
3.5b
(cos.f64 (+.f64 x eps))
10.6b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
Compiler

Compiled 49 to 16 computations (67.3% saved)

series6.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(sin.f64 (+.f64 x eps))
0.0ms
eps
@0
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
0.0ms
x
@0
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
0.0ms
x
@0
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
0.0ms
eps
@0
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))

rewrite145.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1768×associate-*l/
974×distribute-lft-in
734×associate-/r*
538×associate-/l*
328×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01386
128854
2394554
Stop Event
node limit
Counts
4 → 323
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(cos.f64 (+.f64 x eps))
(sin.f64 (+.f64 x eps))
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
Outputs
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(cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))))))

simplify216.0ms (0.9%)

Algorithm
egg-herbie
Rules
1472×associate-*r*
1178×associate-*l*
920×associate-/r*
812×*-commutative
592×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090625391
1248825231
Stop Event
node limit
Counts
419 → 583
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.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))))
(/.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))))
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(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))) (*.f64 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))) 1)
(/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 1)
(/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)))
(/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))))))
(/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (/.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))) (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))) (/.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x 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)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 (+.f64 x eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (*.f64 (cos.f64 (+.f64 x eps)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) -2)) (sin.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (/.f64 1 (cos.f64 (+.f64 x eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (cos.f64 (+.f64 x eps)))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1) (/.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 1) (/.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) 1) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) 1) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) 1) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (cos.f64 (+.f64 x eps))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))) 1)
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) -1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) -1) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) -1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 -1 (sin.f64 (+.f64 x eps))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) 1) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) 1) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) 1) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) -1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 1))
(tan.f64 (+.f64 x eps))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.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 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))
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(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))))
(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) -1) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 1)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 3)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 3) 1/3)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) 3))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))) 1))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
0.7b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
3.6b
(tan.f64 (+.f64 x eps))
7.8b
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
Compiler

Compiled 37 to 15 computations (59.5% saved)

series11.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
2.0ms
eps
@0
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
1.0ms
eps
@-inf
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
1.0ms
eps
@inf
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
1.0ms
x
@-inf
(pow.f64 (tan.f64 (+.f64 x eps)) 3)

rewrite118.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1722×associate-*r/
1430×associate-*l/
748×distribute-lft-in
348×associate-/r*
272×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
127549
2349249
Stop Event
node limit
Counts
3 → 279
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
Outputs
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simplify287.0ms (1.2%)

Algorithm
egg-herbie
Rules
1746×associate-/l*
1280×associate-*r*
1136×associate-*l*
746×*-commutative
732×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088025913
1263825825
Stop Event
node limit
Counts
351 → 500
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
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(/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (cos.f64 (+.f64 x eps)))
(/.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) (*.f64 (tan.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 (+.f64 x eps)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (tan.f64 (+.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sin.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 1 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 1 (*.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 1 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3)) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(/.f64 (*.f64 1 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1) 1) (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1) (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1) (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 3) 1) (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 3) (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 3) (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 3) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 3) (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sin.f64 (+.f64 x eps))) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) 1) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1) (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(/.f64 (*.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 (+.f64 x eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 (+.f64 x eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (*.f64 (*.f64 (tan.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 (+.f64 x eps))) (*.f64 (cos.f64 (+.f64 x eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.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 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sin.f64 (+.f64 x eps))) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sin.f64 (+.f64 x eps))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps))))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) 1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x 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 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) 1) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps))))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(exp.f64 (*.f64 3 (log.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (+.f64 x eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (*.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x))) (fma.f64 -1 (*.f64 (+.f64 1/6 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (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 (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 (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
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(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3))
(/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (neg.f64 x))) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (neg.f64 x))) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (neg.f64 x))) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 3))
(/.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) 3) (pow.f64 (cos.f64 (-.f64 eps (neg.f64 x))) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
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(exp.f64 (*.f64 3 (log.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (exp.f64 3) (log.f64 (tan.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (+.f64 x eps)))) 1))
(pow.f64 (exp.f64 3) (log.f64 (tan.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(pow.f64 (tan.f64 (+.f64 eps x)) 3)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
2.6b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Compiler

Compiled 68 to 24 computations (64.7% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite195.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01492
132092
2460692
Stop Event
node limit
Counts
2 → 223
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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simplify220.0ms (1%)

Algorithm
egg-herbie
Rules
794×associate-/l*
620×associate-/l/
602×associate-*r*
552×*-commutative
478×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070425989
1200924567
Stop Event
node limit
Counts
271 → 365
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) 1) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) -1) (-.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) -1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.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 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.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 (neg.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 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.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 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(-.f64 (+.f64 (/.f64 (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 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.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 (/.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 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (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)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))))
(/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (cbrt.f64 (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)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) 1) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (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 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) -1) (-.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) -1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.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 1 (-.f64 1 (*.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))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (neg.f64 (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)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(/.f64 (/.f64 (neg.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 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.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 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.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 1 (-.f64 1 (*.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))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (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)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.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 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (*.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))))
(fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))

eval1.4s (5.9%)

Compiler

Compiled 87910 to 34475 computations (60.8% saved)

prune1.1s (4.7%)

Pruning

61 alts after pruning (56 fresh and 5 done)

PrunedKeptTotal
New2468392507
Fresh301747
Picked011
Done145
Total2499612560
Error
0.2b
Counts
2560 → 61
Alt Table
Click to see full alt table
StatusErrorProgram
22.1b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
33.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
53.0b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
22.9b
(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)
39.6b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
25.3b
(/.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)))))))
22.3b
(/.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)))
22.3b
(/.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)))
30.0b
(/.f64 (sin.f64 eps) (cos.f64 eps))
22.2b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
40.8b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
33.1b
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (pow.f64 eps 3) (+.f64 1/3 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (*.f64 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 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (*.f64 -1/3 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x))))))
39.9b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
25.4b
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.3b
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.3b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
22.1b
(-.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))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
40.8b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
61.0b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
39.5b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
22.1b
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
28.7b
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.3b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.2b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.2b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
40.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
51.3b
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
60.2b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
39.6b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
51.8b
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
38.7b
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
40.1b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
40.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
41.3b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
50.4b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
43.8b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
52.2b
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
43.7b
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
22.2b
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
13.9b
(+.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))))
33.1b
(+.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)))))))))))))
40.8b
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
32.5b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
25.3b
(*.f64 (/.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 (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))))
32.6b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
61.6b
(neg.f64 x)
28.9b
(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))))
45.7b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
50.7b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
52.0b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
29.5b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
Compiler

Compiled 3059 to 1836 computations (40% saved)

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.1b
(/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
3.2b
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 78 to 26 computations (66.7% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite115.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1624×associate-/l*
908×associate-/r/
732×distribute-lft-in
662×associate-/l/
302×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013103
1286103
24039103
Stop Event
node limit
Counts
3 → 197
Calls
Call 1
Inputs
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.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 (tan.f64 x) (-.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 (tan.f64 x) (-.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 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 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x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))))

simplify161.0ms (0.7%)

Algorithm
egg-herbie
Rules
958×associate-*r*
820×associate-*l*
786×*-commutative
640×associate-/l*
530×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064119239
1198918793
Stop Event
node limit
Counts
269 → 341
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (pow.f64 eps 4))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)) eps)
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) eps))
(+.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 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) eps)))
(/.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 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 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 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 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 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 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 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 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) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 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 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 3)) (+.f64 (*.f64 -1 (*.f64 (+.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 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.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 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 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 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 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 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 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 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
x
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) x))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))) (+.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
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(*.f64 (/.f64 (/.f64 (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 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 (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 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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 eps)) -1)
(neg.f64 (/.f64 (tan.f64 eps) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) 1) (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) 1))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) 1) (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) 1))
(+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1)
(*.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 1 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(*.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (*.f64 (tan.f64 x) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (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) (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 (tan.f64 x) (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) (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 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(neg.f64 (/.f64 (tan.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)) (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (-.f64 (/.f64 -1/3 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (sin.f64 eps))) (pow.f64 x 4))))
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eps
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x
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(*.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (neg.f64 (tan.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (tan.f64 x) (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 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (tan.f64 x) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (*.f64 (tan.f64 x) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 (neg.f64 (tan.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (tan.f64 x) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (tan.f64 x) (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 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (tan.f64 x) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(*.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (/.f64 (tan.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (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 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (/.f64 (tan.f64 x) (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)))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (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 (sqrt.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) (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)))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (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) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (/.f64 (tan.f64 x) (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)))))
(*.f64 (/.f64 (/.f64 (tan.f64 x) (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 (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (/.f64 (tan.f64 x) (*.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))))
(/.f64 (/.f64 (tan.f64 x) (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 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) -1)
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(neg.f64 (/.f64 (tan.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (neg.f64 (tan.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(fabs.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 eps))
0.2b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))
1.4b
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 41 to 16 computations (61% saved)

series5.0ms (0%)

Counts
3 → 52
Calls

15 calls:

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

rewrite112.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1868×associate-*r/
1556×associate-*l/
680×associate-/r*
302×add-sqr-sqrt
296×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01363
128463
2386963
Stop Event
node limit
Counts
3 → 227
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))
(/.f64 1 (cos.f64 eps))
Outputs
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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 eps) -1/2) (pow.f64 (cos.f64 eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) (cbrt.f64 (pow.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) -2)) (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) -1) (pow.f64 (sqrt.f64 (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (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 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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 exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 eps))))))))

simplify218.0ms (0.9%)

Algorithm
egg-herbie
Rules
1190×+-commutative
1000×associate-/l*
800×associate-*r*
778×associate-*l*
654×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062513657
1165513243
2798313243
Stop Event
node limit
Counts
279 → 357
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (cos.f64 x)) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (cos.f64 x)) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
1
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 eps 6)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x 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 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x 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 1 (cos.f64 eps)) (sin.f64 (+.f64 x 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 1 (cos.f64 eps)) (sin.f64 (+.f64 x 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 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (neg.f64 (tan.f64 x))))
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(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 eps))) (cbrt.f64 (neg.f64 (cos.f64 eps))))) (cbrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 eps)))) 1)
(*.f64 1 (/.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 eps)) 1)
(*.f64 (pow.f64 (cos.f64 eps) -1/2) (pow.f64 (cos.f64 eps) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) (cbrt.f64 (pow.f64 (cos.f64 eps) -2)))
(*.f64 -1 (/.f64 -1 (cos.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) -2)) (cbrt.f64 (/.f64 1 (cos.f64 eps))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) -1) (pow.f64 (sqrt.f64 (cos.f64 eps)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 eps)) -1))
(pow.f64 (cos.f64 eps) -1)
(pow.f64 (/.f64 1 (cos.f64 eps)) 1)
(pow.f64 (pow.f64 (cos.f64 eps) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 eps) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 eps))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 eps))))
Outputs
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (-.f64 (fma.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (cos.f64 x)) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) 1/120) (fma.f64 1/24 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) 1/3)))) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (-.f64 (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) -1/30) (*.f64 (cos.f64 x) -1/6)) (*.f64 (cos.f64 x) (*.f64 1/3 (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 4))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 4)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3)))
(fma.f64 (cos.f64 x) eps (fma.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (cos.f64 x)) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) 1/120) (fma.f64 1/24 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) 1/3)))) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) -1/30) (*.f64 (cos.f64 x) -1/6)) (*.f64 (cos.f64 x) (*.f64 1/3 (pow.f64 eps 3)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
1
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 1 (*.f64 1/2 (*.f64 eps eps)))
(fma.f64 1/2 (*.f64 eps eps) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 eps eps) (*.f64 5/24 (pow.f64 eps 4))))
(+.f64 (fma.f64 1/2 (*.f64 eps eps) 1) (*.f64 5/24 (pow.f64 eps 4)))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 eps 6)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 eps 6) (fma.f64 1/2 (*.f64 eps eps) (*.f64 5/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (-.f64 (tan.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (-.f64 (*.f64 0 (tan.f64 x)) (tan.f64 x)))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (-.f64 (tan.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (-.f64 (*.f64 0 (tan.f64 x)) (tan.f64 x)))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
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(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) 1) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 eps))) (neg.f64 (sqrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (neg.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) -1) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 eps))) (cbrt.f64 (neg.f64 (cos.f64 eps))))) (cbrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 1)
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 2)
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3)
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 3) 1/3)
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 2))
(fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) 3))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 1))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 eps)))) 1)
(/.f64 1 (cos.f64 eps))
(*.f64 1 (/.f64 1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) 1)
(/.f64 1 (cos.f64 eps))
(*.f64 (pow.f64 (cos.f64 eps) -1/2) (pow.f64 (cos.f64 eps) -1/2))
(/.f64 1 (cos.f64 eps))
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) (cbrt.f64 (pow.f64 (cos.f64 eps) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) -2)) (cbrt.f64 (/.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 -1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) -2)) (cbrt.f64 (/.f64 1 (cos.f64 eps))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) -1) (pow.f64 (sqrt.f64 (cos.f64 eps)) -1))
(pow.f64 (sqrt.f64 (cos.f64 eps)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 eps)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 eps))))
(pow.f64 (cos.f64 eps) -1)
(/.f64 1 (cos.f64 eps))
(pow.f64 (/.f64 1 (cos.f64 eps)) 1)
(/.f64 1 (cos.f64 eps))
(pow.f64 (pow.f64 (cos.f64 eps) -1/2) 2)
(/.f64 1 (cos.f64 eps))
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) 3)
(/.f64 1 (cos.f64 eps))
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 3) 1/3)
(/.f64 1 (cos.f64 eps))
(sqrt.f64 (pow.f64 (cos.f64 eps) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 eps)))))
(/.f64 1 (cos.f64 eps))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 3))
(/.f64 1 (cos.f64 eps))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))
(exp.f64 (neg.f64 (log.f64 (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) -1))
(/.f64 1 (cos.f64 eps))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 eps))) 1))
(/.f64 1 (cos.f64 eps))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
0.6b
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
3.6b
(tan.f64 (+.f64 eps x))
7.8b
(cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))
Compiler

Compiled 45 to 16 computations (64.4% saved)

series5.0ms (0%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
1.0ms
eps
@-inf
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
1.0ms
eps
@inf
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
1.0ms
x
@inf
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
1.0ms
eps
@0
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)

rewrite204.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1656×associate-*r/
1414×associate-*l/
332×associate-/r*
294×add-sqr-sqrt
284×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01376
129660
2376960
Stop Event
node limit
Counts
4 → 348
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))
(tan.f64 (+.f64 eps x))
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
Outputs
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simplify299.0ms (1.3%)

Algorithm
egg-herbie
Rules
1400×associate-/l*
1188×associate-*r*
1080×associate-*l*
610×*-commutative
588×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079223318
1209623112
Stop Event
node limit
Counts
428 → 502
Calls
Call 1
Inputs
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))) (+.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))))
(pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(fma.f64 1 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) (sqrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) (neg.f64 (tan.f64 x)))
Outputs
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (-.f64 x (neg.f64 eps))))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (-.f64 x (neg.f64 eps))))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (-.f64 x (neg.f64 eps))))
(fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))))
(fabs.f64 (tan.f64 (-.f64 x (neg.f64 eps))))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(fabs.f64 (tan.f64 (-.f64 eps (neg.f64 x))))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(fabs.f64 (tan.f64 (-.f64 eps (neg.f64 x))))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(fabs.f64 (tan.f64 (-.f64 eps (neg.f64 x))))
(fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))))
(fabs.f64 (tan.f64 (-.f64 eps (neg.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 eps (-.f64 1 (neg.f64 (/.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)) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (*.f64 eps eps) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2))))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (*.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (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)))) (neg.f64 (pow.f64 eps 3)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps)) (*.f64 x (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (*.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps)) (*.f64 x (*.f64 x (sin.f64 eps)))) (fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (*.f64 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)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 4) (pow.f64 (tan.f64 x) 4)) (*.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 6) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 6) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 4) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 6) (pow.f64 (tan.f64 x) 6)) (/.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 1)) (+.f64 (*.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 4) (pow.f64 (tan.f64 x) 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))) (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 6) (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 6) (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))) (+.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 (+.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 6) (pow.f64 (tan.f64 x) 6)) (*.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3))) (*.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 6) (+.f64 (pow.f64 (tan.f64 x) 6) (*.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (sqrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) (sqrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) (*.f64 (cbrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) (cbrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))) (*.f64 (cbrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) (cbrt.f64 (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) 2) (*.f64 (tan.f64 x) (+.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 2) (*.f64 (tan.f64 x) (+.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))))))
(pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 1)
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) 2)
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) 3)
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 3) 1/3)
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x)) 3))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))) 1))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 1 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (neg.f64 (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) (sqrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) (neg.f64 (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))) (neg.f64 (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
0.2b
(*.f64 (sin.f64 x) (sin.f64 eps))
0.2b
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
6.0b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
Compiler

Compiled 123 to 23 computations (81.3% saved)

series52.0ms (0.2%)

Counts
4 → 56
Calls

21 calls:

TimeVariablePointExpression
33.0ms
eps
@-inf
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
8.0ms
x
@inf
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
2.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
2.0ms
x
@-inf
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
2.0ms
eps
@0
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))

rewrite181.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
484×associate-+l+
472×add-sqr-sqrt
466×pow1
466×*-un-lft-identity
456×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02086
146886
2709886
Stop Event
node limit
Counts
4 → 194
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 x) (sin.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
Outputs
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simplify214.0ms (0.9%)

Algorithm
egg-herbie
Rules
1000×associate-*r*
886×associate-*l*
682×*-commutative
676×associate-/l*
512×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067020120
1194619392
Stop Event
node limit
Counts
250 → 337
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 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (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)))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
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eps
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(*.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 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(pow.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) (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)) (pow.f64 (/.f64 (sin.f64 eps) (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 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) x)) (*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (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 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/3) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (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 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) x)) (*.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (*.f64 x x))) (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/3) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (neg.f64 (-.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 1/3 (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (pow.f64 eps 3)) (+.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 (-.f64 1/3 (+.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (pow.f64 eps 3) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))))))
(fma.f64 (-.f64 1/3 (-.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) -1/3) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (pow.f64 eps 3) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (neg.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
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eps
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(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))

eval749.0ms (3.2%)

Compiler

Compiled 59788 to 21302 computations (64.4% saved)

prune653.0ms (2.8%)

Pruning

70 alts after pruning (63 fresh and 7 done)

PrunedKeptTotal
New1725321757
Fresh203151
Picked101
Done279
Total1748701818
Error
0.1b
Counts
1818 → 70
Alt Table
Click to see full alt table
StatusErrorProgram
22.1b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
38.7b
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
33.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
43.8b
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x)) 3) 1/3)
22.9b
(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)
25.3b
(/.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)))))))
26.5b
(/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x)))
30.0b
(/.f64 (sin.f64 eps) (cos.f64 eps))
22.2b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
40.8b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
52.2b
(/.f64 1 (/.f64 1 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
39.3b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
22.3b
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.8b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
22.3b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (tan.f64 x))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
22.1b
(-.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))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
40.8b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
38.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
39.5b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
22.1b
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
28.7b
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.3b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
38.7b
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
22.2b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
40.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
51.3b
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
39.6b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
51.8b
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
59.5b
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
38.7b
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
45.6b
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
51.2b
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
40.1b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
40.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
59.3b
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
59.3b
(-.f64 (sin.f64 x) (tan.f64 x))
38.8b
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
45.2b
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
50.3b
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
50.4b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
52.2b
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
43.7b
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
22.2b
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sin.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
21.6b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
21.6b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
29.7b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 eps 4))))
21.6b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)))
14.5b
(+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (tan.f64 eps))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
28.6b
(+.f64 (log.f64 (exp.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
40.8b
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
45.8b
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
32.5b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
32.6b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
61.6b
(neg.f64 x)
28.9b
(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))))
50.4b
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
29.5b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
42.0b
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))))
Compiler

Compiled 2924 to 1783 computations (39% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))
0.3b
(*.f64 (tan.f64 x) (sin.f64 eps))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
3.2b
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
Compiler

Compiled 114 to 32 computations (71.9% saved)

series8.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite121.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
924×associate-/r/
768×distribute-rgt-in
718×distribute-lft-in
712×associate-/l/
322×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491
130491
2434691
Stop Event
node limit
Counts
3 → 161
Calls
Call 1
Inputs
(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(*.f64 (tan.f64 x) (sin.f64 eps))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.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 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.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 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.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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eps)) (cos.f64 eps))))))))

simplify179.0ms (0.8%)

Algorithm
egg-herbie
Rules
1056×associate-+r+
960×+-commutative
790×associate-*r*
754×fma-def
678×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057216173
1167715053
2752015053
Stop Event
node limit
Counts
233 → 303
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
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(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(+.f64 1 (-.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 1))
(+.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 0)
(-.f64 (+.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) 1)
(*.f64 (tan.f64 x) (*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (tan.f64 x) (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(*.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (sin.f64 eps) (*.f64 (tan.f64 x) (/.f64 1 (cos.f64 eps))))
(*.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (/.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 1)
(*.f64 (sqrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) (sqrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) 2) (cbrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (tan.f64 x) (sin.f64 eps)))
(*.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (/.f64 1 (neg.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sin.f64 eps))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (tan.f64 x))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) 1) (/.f64 (tan.f64 x) (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 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 1) (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (cos.f64 eps)) (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (neg.f64 (cos.f64 eps))) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(*.f64 (/.f64 (tan.f64 x) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (tan.f64 x) (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (tan.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))) (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2))) (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (cos.f64 eps) (sin.f64 eps))) (sqrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (cos.f64 eps) (sin.f64 eps))) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2) (cos.f64 eps)) (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(pow.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) 3)
(pow.f64 (/.f64 (cos.f64 eps) (*.f64 (tan.f64 x) (sin.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(exp.f64 (log.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)) (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 4))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))) (fma.f64 -1 (*.f64 (pow.f64 x 5) (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (pow.f64 x 5) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/3 (/.f64 (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 4))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
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(+.f64 1 (+.f64 -1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) 1))
(+.f64 1 (+.f64 -1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(+.f64 1 (+.f64 -1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)
1.1b
(-.f64 (tan.f64 (+.f64 eps x)) x)
1.1b
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
3.6b
(tan.f64 (+.f64 eps x))
Compiler

Compiled 35 to 7 computations (80% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite150.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1640×distribute-lft-in
628×associate-/r*
494×associate-/l*
418×associate-+l+
384×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
124769
2386969
Stop Event
node limit
Counts
3 → 287
Calls
Call 1
Inputs
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (tan.f64 (+.f64 eps x)) x)
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 eps x)) (+.f64 x (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 eps x)) (-.f64 x (+.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 eps x)) (-.f64 (-.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 eps x)) (-.f64 (-.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (+.f64 eps x)) (+.f64 (-.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 eps x)) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (-.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))) (-.f64 1 (+.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))) (+.f64 1 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 eps x)))) (+.f64 1 (+.f64 x (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) 2) (+.f64 x (-.f64 (tan.f64 (+.f64 eps x)) x))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 (tan.f64 (+.f64 eps x)) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) 3) (+.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) 2) (*.f64 x (+.f64 x (-.f64 (tan.f64 (+.f64 eps x)) x))))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) 2) (*.f64 x (+.f64 x (-.f64 (tan.f64 (+.f64 eps x)) x))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (+.f64 x (tan.f64 (+.f64 eps x)))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x (tan.f64 (+.f64 eps x)))) (+.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (+.f64 x (tan.f64 (+.f64 eps x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (tan.f64 (+.f64 eps x)))) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x)))))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 x (+.f64 x (tan.f64 (+.f64 eps x)))))) (+.f64 x (neg.f64 x))))))) 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(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))) 2) (cbrt.f64 (+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 2)) (/.f64 1 (+.f64 x (+.f64 (-.f64 x (tan.f64 (+.f64 eps x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (+.f64 (-.f64 x (tan.f64 (+.f64 eps x))) x))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (-.f64 (-.f64 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(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x))) (*.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x)))))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x))) (*.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (+.f64 x x) x)))))))))) (#(struct:change #<rule 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(*.f64 x (+.f64 x (-.f64 (tan.f64 (+.f64 eps x)) x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) 2) (*.f64 x (+.f64 x (-.f64 (tan.f64 (+.f64 eps x)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (+.f64 x x)))))))

simplify194.0ms (0.8%)

Algorithm
egg-herbie
Rules
1050×associate-*r*
968×+-commutative
942×associate-+r+
838×associate-+l+
838×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084922703
1266521819
Stop Event
node limit
Counts
359 → 538
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 (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 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (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 -1 x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (*.f64 2 x))
(-.f64 (+.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))))) x)) (*.f64 2 x))
(-.f64 (+.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)) x))) (*.f64 2 x))
(-.f64 (+.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 (*.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)))))))))) x)))) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 (+.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)))))) x)
(-.f64 (+.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)))) x)
(-.f64 (+.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))))))))))))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.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 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.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 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2 x))
(-.f64 (+.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 2 x))
(-.f64 (+.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 2 x))
(-.f64 (+.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 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (*.f64 2 x))
(/.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))) 1) x)) (/.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 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (/.f64 (sin.f64 eps) (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 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (+.f64 x 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 (*.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 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x))))))
(+.f64 (/.f64 (*.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 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (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 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 1/6 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (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))))))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (neg.f64 x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 (+.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))))) x)) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) x) (+.f64 x x)))
(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.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)) x))) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 x (/.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)))) (+.f64 x x)))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) eps))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.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 (*.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)))))))))) x)))) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (+.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 (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))))))))) x)) (+.f64 x x)))
(+.f64 (+.f64 (fma.f64 -1 (*.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))))))))) x) (fma.f64 eps (-.f64 1 (neg.f64 (/.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) eps)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 x -2)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x) (*.f64 2 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x) (*.f64 2 x))
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) x)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 x (+.f64 x x)))
(-.f64 (+.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)))))) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) x) (+.f64 x x)))
(+.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.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)))) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 x (/.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)))) (+.f64 x x)))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) eps))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.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))))))))))))) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) x))
(+.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))) (fma.f64 eps (-.f64 1 (neg.f64 (/.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) eps)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (-.f64 x (+.f64 x x)))
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(log.f64 (exp.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(cbrt.f64 (pow.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x) 3))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(expm1.f64 (log1p.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(exp.f64 (log.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(exp.f64 (*.f64 (log.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(log1p.f64 (expm1.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (+.f64 x x)))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (-.f64 (neg.f64 x) x))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(fma.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) x) (neg.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(fma.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (neg.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (-.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (*.f64 x -2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) 2) (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) x)) (neg.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (+.f64 x x))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x -2))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (-.f64 (neg.f64 x) x))
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localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
0.1b
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
1.4b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 43 to 9 computations (79.1% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite117.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1822×associate-*l/
980×associate-/r*
848×distribute-lft-in
738×associate-/l*
292×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01152
124852
2360852
Stop Event
node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))
Outputs
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eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))))))

simplify146.0ms (0.6%)

Algorithm
egg-herbie
Rules
1272×associate-+l-
1172×+-commutative
1034×associate-+r-
726×fma-def
620×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045512219
1133111795
2613911795
Stop Event
node limit
Counts
199 → 273
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (cos.f64 x)) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))
(*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (/.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 eps)) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 3)
(pow.f64 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps))) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 x 4))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 x 4)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 eps (cos.f64 x) (fma.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3) (sin.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (cos.f64 x)) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) 1/120) (fma.f64 1/24 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) 1/3)))) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (-.f64 (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) -1/30) (*.f64 (cos.f64 x) -1/6)) (*.f64 (cos.f64 x) (*.f64 1/3 (pow.f64 eps 3)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))
(+.f64 x (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)))
(fma.f64 (pow.f64 x 3) -1/6 (+.f64 x (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3)))
(fma.f64 eps (cos.f64 x) (fma.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 1/120 (cos.f64 x)) (+.f64 (*.f64 1/24 (cos.f64 x)) (*.f64 -1/2 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 -1/2 (cos.f64 x))) (pow.f64 eps 3)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) 1/120) (fma.f64 1/24 (cos.f64 x) (*.f64 -1/2 (*.f64 (cos.f64 x) 1/3)))) (*.f64 (*.f64 (cos.f64 x) 1/3) (pow.f64 eps 3))))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (fma.f64 (pow.f64 eps 5) (-.f64 (*.f64 (cos.f64 x) -1/30) (*.f64 (cos.f64 x) -1/6)) (*.f64 (cos.f64 x) (*.f64 1/3 (pow.f64 eps 3)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (-.f64 (*.f64 0 (tan.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (-.f64 (*.f64 0 (tan.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.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 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.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 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.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 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))) (tan.f64 x))
(+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (*.f64 0 (tan.f64 x))) (*.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.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 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))) (tan.f64 x))
(+.f64 (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (*.f64 0 (tan.f64 x))) (*.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))
(+.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (*.f64 1 (*.f64 (neg.f64 (tan.f64 x)) 1)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(+.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
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(pow.f64 (sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))) 2)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))) 3)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)) 2))
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)) 3))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))) 1))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(fma.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 2) (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 1 (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)))
(*.f64 (/.f64 1 (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)))) 1)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 1)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 1 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (sqrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 2))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 2) (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (/.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 eps)) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cos.f64 eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 1)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 2)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 3)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(pow.f64 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps))) -1)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 3) 1/3)
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) 2))
(fabs.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)))
(log.f64 (exp.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) 3))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(exp.f64 (log.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) 1))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
0.6b
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
3.6b
(tan.f64 (+.f64 eps x))
7.8b
(cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3))
Compiler

Compiled 74 to 31 computations (58.1% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
0.3b
(pow.f64 (cos.f64 x) 2)
0.3b
(pow.f64 (sin.f64 x) 2)
3.9b
(*.f64 eps (pow.f64 (sin.f64 x) 2))
Compiler

Compiled 83 to 37 computations (55.4% saved)

series5.0ms (0%)

Counts
3 → 12
Calls

12 calls:

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

rewrite68.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1860×add-sqr-sqrt
1846×*-un-lft-identity
1698×add-cube-cbrt
1678×add-cbrt-cube
210×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
122039
2247139
Stop Event
node limit
Counts
3 → 53
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 4) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))))))

simplify64.0ms (0.3%)

Algorithm
egg-herbie
Rules
1268×associate-+r+
1198×associate-+l+
600×fma-def
584×unswap-sqr
572×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01681195
13661175
211011147
334161127
Stop Event
node limit
Counts
65 → 107
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6)))))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 -1/315 (*.f64 eps (pow.f64 x 8))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6))))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) 1)
(pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 1)
(pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) 3)
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 4) (*.f64 eps eps)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (*.f64 eps (pow.f64 x 2)))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (*.f64 x x)))
(fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 -1/3 (pow.f64 x 4))))
(*.f64 eps (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6)))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 2/45 eps) (pow.f64 x 6))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 2/45 (pow.f64 x 6)))))
(fma.f64 eps (*.f64 x x) (*.f64 eps (fma.f64 -1/3 (pow.f64 x 4) (*.f64 2/45 (pow.f64 x 6)))))
(*.f64 eps (fma.f64 x x (fma.f64 -1/3 (pow.f64 x 4) (*.f64 2/45 (pow.f64 x 6)))))
(+.f64 (*.f64 -1/3 (*.f64 eps (pow.f64 x 4))) (+.f64 (*.f64 -1/315 (*.f64 eps (pow.f64 x 8))) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 2/45 (*.f64 eps (pow.f64 x 6))))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 -1/315 (*.f64 eps (pow.f64 x 8)) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 2/45 eps) (pow.f64 x 6)))))
(fma.f64 -1/3 (*.f64 eps (pow.f64 x 4)) (fma.f64 -1/315 (*.f64 eps (pow.f64 x 8)) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 2/45 (pow.f64 x 6))))))
(+.f64 (*.f64 eps (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (*.f64 eps (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8)))))
(*.f64 eps (fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8))))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 -1/3 (pow.f64 x 4) (*.f64 2/45 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/3 (-.f64 1 (*.f64 x x)))
(-.f64 1 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -2/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/3 (*.f64 (pow.f64 x 6) -2/45)) (*.f64 x x)))
(-.f64 (fma.f64 (pow.f64 x 4) 1/3 1) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))) 1)
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 1)
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2)
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(pow.f64 (cbrt.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) 3)
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 3) 1/3)
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 4) (*.f64 eps eps)))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 (sin.f64 x) 2)))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)))))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) 3))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))) 1))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(*.f64 eps (pow.f64 (sin.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(fma.f64 (cos.f64 (+.f64 x x)) -1/2 1/2)
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (sin.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(fma.f64 1/2 (cos.f64 (+.f64 x x)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(/.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 x x))) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(pow.f64 (cos.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))
(pow.f64 (cos.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))
(pow.f64 (cos.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)

eval929.0ms (4%)

Compiler

Compiled 69393 to 26586 computations (61.7% saved)

prune1.3s (5.4%)

Pruning

80 alts after pruning (71 fresh and 9 done)

PrunedKeptTotal
New2054162070
Fresh35558
Picked101
Done2911
Total2060802140
Error
0.1b
Counts
2140 → 80
Alt Table
Click to see full alt table
StatusErrorProgram
22.1b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
38.7b
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
33.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
43.8b
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x)) 3) 1/3)
22.9b
(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)
25.3b
(/.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)))))))
26.5b
(/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x)))
30.0b
(/.f64 (sin.f64 eps) (cos.f64 eps))
22.2b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
40.8b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
50.4b
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
39.3b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
22.3b
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.8b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
22.3b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (tan.f64 x))
22.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
22.1b
(-.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))
22.1b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
40.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
40.8b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
38.7b
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
39.5b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
22.1b
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
28.7b
(-.f64 (/.f64 (log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.3b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
38.7b
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
40.8b
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
22.2b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
40.5b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
51.3b
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
39.6b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
51.8b
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
59.5b
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
38.7b
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
45.6b
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
51.2b
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
39.2b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
40.1b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
40.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
59.3b
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
59.3b
(-.f64 (sin.f64 x) (tan.f64 x))
38.8b
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
45.2b
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
50.3b
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
50.4b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
52.2b
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
43.7b
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
22.2b
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sin.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
46.3b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2) (pow.f64 (cos.f64 x) 2)))
21.9b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))
21.7b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))))
21.9b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))
29.6b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))
18.5b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 2)))
21.7b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2)))
20.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (sqrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)))
18.5b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
29.7b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 eps 4))))
13.8b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)))
14.5b
(+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (tan.f64 eps))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
28.6b
(+.f64 (log.f64 (exp.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
40.8b
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
40.8b
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
45.8b
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
32.5b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
32.6b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
61.6b
(neg.f64 x)
28.9b
(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))))
46.5b
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
50.7b
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (fabs.f64 (tan.f64 x))))
50.8b
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
60.1b
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
29.5b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
Compiler

Compiled 1723 to 1070 computations (37.9% saved)

regimes1.2s (5.4%)

Counts
140 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (fabs.f64 (tan.f64 x))))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (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 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 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))))
(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 (log.f64 (exp.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (sqrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sin.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (log.f64 (exp.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 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 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (tan.f64 eps))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x)) 3) 1/3)
(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 (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 (fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.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 (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))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.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 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 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 (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 (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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 eps 4))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (pow.f64 eps 3) (+.f64 1/3 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (*.f64 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 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (*.f64 -1/3 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (+.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
Outputs
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 eps 4))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

675.0ms
x
276.0ms
eps
163.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.4b7x
0.3b3eps
7.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2993 to 1201 computations (59.9% saved)

bsearch92.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
2.127682651034425e-20
8.357655266167711e-9
45.0ms
-157.35819379247047
-2.255975185844494e-5
Results
38.0ms85×body1024valid
30.0ms174×body256valid
10.0ms41×body512valid
2.0msbody2048valid
Compiler

Compiled 2526 to 1593 computations (36.9% saved)

regimes1.2s (5.2%)

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

3 calls:

651.0ms
x
320.0ms
eps
169.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.4b7x
0.4b3eps
7.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2536 to 919 computations (63.8% saved)

bsearch112.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
41.0ms
2.127682651034425e-20
8.357655266167711e-9
68.0ms
-2.018893241253062e-7
-7.307630911579605e-12
Results
68.0ms82×body1024valid
24.0ms174×body256valid
9.0ms27×body512valid
3.0msbody2048valid
Compiler

Compiled 1110 to 696 computations (37.3% saved)

regimes850.0ms (3.7%)

Counts
125 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (fabs.f64 (tan.f64 x))))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (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 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 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))))
(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 (log.f64 (exp.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (sqrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sin.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (log.f64 (exp.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 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 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (tan.f64 eps))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x)) 3) 1/3)
Outputs
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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:

368.0ms
x
242.0ms
eps
202.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.4b7x
0.4b3eps
7.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1999 to 736 computations (63.2% saved)

bsearch63.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
2.127682651034425e-20
8.357655266167711e-9
26.0ms
-2.255975185844494e-5
-2.018893241253062e-7
Results
24.0ms173×body256valid
21.0ms57×body1024valid
8.0ms34×body512valid
4.0msbody2048valid
Compiler

Compiled 907 to 603 computations (33.5% saved)

regimes487.0ms (2.1%)

Counts
103 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (fabs.f64 (tan.f64 x))))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (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 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 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))))
(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 (log.f64 (exp.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (sqrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 eps)) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))))
Outputs
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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:

263.0ms
x
128.0ms
eps
70.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.5b7x
0.4b3eps
7.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1373 to 503 computations (63.4% saved)

bsearch64.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
2.127682651034425e-20
8.357655266167711e-9
27.0ms
-2.255975185844494e-5
-2.018893241253062e-7
Results
25.0ms73×body1024valid
19.0ms147×body256valid
11.0ms44×body512valid
5.0msbody2048valid
Compiler

Compiled 886 to 575 computations (35.1% saved)

regimes519.0ms (2.2%)

Counts
95 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (fabs.f64 (tan.f64 x))))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (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 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 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))))
(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 (log.f64 (exp.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
Outputs
(-.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 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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:

310.0ms
x
128.0ms
eps
59.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.8b7x
0.4b3eps
7.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1178 to 427 computations (63.8% saved)

bsearch62.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
2.127682651034425e-20
8.357655266167711e-9
27.0ms
-2.255975185844494e-5
-2.018893241253062e-7
Results
24.0ms72×body1024valid
21.0ms160×body256valid
8.0ms33×body512valid
4.0msbody2048valid
Compiler

Compiled 844 to 568 computations (32.7% saved)

regimes456.0ms (2%)

Counts
87 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (fabs.f64 (tan.f64 x))))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (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 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (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:

271.0ms
x
112.0ms
eps
54.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.1b7x
0.4b3eps
7.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1013 to 359 computations (64.6% saved)

bsearch66.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
38.0ms
2.127682651034425e-20
8.357655266167711e-9
28.0ms
-2.018893241253062e-7
-7.307630911579605e-12
Results
28.0ms84×body1024valid
25.0ms178×body256valid
5.0msbody2048valid
4.0ms17×body512valid
Compiler

Compiled 660 to 440 computations (33.3% saved)

regimes359.0ms (1.6%)

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

200.0ms
x
87.0ms
eps
49.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.2b7x
0.5b3eps
7.7b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 884 to 313 computations (64.6% saved)

bsearch72.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
40.0ms
2.127682651034425e-20
8.357655266167711e-9
32.0ms
-2.018893241253062e-7
-7.307630911579605e-12
Results
36.0ms96×body1024valid
21.0ms156×body256valid
7.0ms31×body512valid
3.0msbody2048valid
Compiler

Compiled 644 to 424 computations (34.2% saved)

regimes225.0ms (1%)

Counts
77 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(*.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) x)
(-.f64 (*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (fabs.f64 (tan.f64 x))))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -2)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))))
(-.f64 (log.f64 (exp.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)))) 3) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
Calls

3 calls:

81.0ms
x
80.0ms
eps
47.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
18.5b3x
16.4b3eps
17.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 832 to 297 computations (64.3% saved)

bsearch68.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
2.127682651034425e-20
8.357655266167711e-9
31.0ms
-157.35819379247047
-2.255975185844494e-5
Results
28.0ms82×body1024valid
24.0ms181×body256valid
8.0ms34×body512valid
4.0msbody2048valid
Compiler

Compiled 520 to 382 computations (26.5% saved)

regimes180.0ms (0.8%)

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

3 calls:

65.0ms
eps
65.0ms
x
36.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
18.5b3x
16.4b3eps
17.2b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 603 to 202 computations (66.5% saved)

bsearch73.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
38.0ms
2.127682651034425e-20
8.357655266167711e-9
34.0ms
-157.35819379247047
-2.255975185844494e-5
Results
31.0ms91×body1024valid
21.0ms164×body256valid
8.0ms36×body512valid
7.0ms13×body2048valid
Compiler

Compiled 520 to 401 computations (22.9% saved)

regimes73.0ms (0.3%)

Counts
60 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (sin.f64 x) (tan.f64 x)))
(fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 eps)) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(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 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(fabs.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps))) (tan.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(fma.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

3 calls:

23.0ms
eps
23.0ms
x
15.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
30.0b1x
30.0b1eps
30.0b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 590 to 194 computations (67.1% saved)

regimes19.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(-.f64 (sin.f64 x) (tan.f64 x))
Outputs
(-.f64 (sin.f64 x) (tan.f64 x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(-.f64 (sin.f64 x) (tan.f64 x))
Calls

2 calls:

13.0ms
x
5.0ms
eps
Results
ErrorSegmentsBranch
38.3b3x
40.8b1eps
Compiler

Compiled 65 to 30 computations (53.8% saved)

bsearch74.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
266.90392373588156
64491.694642085575
36.0ms
-0.0002205096922212645
-1.1712752235173903e-6
Results
42.0ms114×body1024valid
14.0ms54×body512valid
9.0ms16×body2048valid
5.0ms40×body256valid
Compiler

Compiled 308 to 206 computations (33.1% saved)

regimes10.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(+.f64 x (/.f64 1 (/.f64 1 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
Outputs
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
Calls

2 calls:

5.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
40.8b1x
40.8b1eps
Compiler

Compiled 60 to 27 computations (55% saved)

regimes7.0ms (0%)

Accuracy

Total -20.9b remaining (-51.2%)

Threshold costs -20.9b (-51.2%)

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

2 calls:

3.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
40.8b1x
40.8b1eps
Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify52.0ms (0.2%)

Algorithm
egg-herbie
Rules
104×+-commutative
76×*-commutative
64×sub-neg
48×neg-sub0
44×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01462040
12152040
22772040
33222040
43712040
53982040
64072040
74102040
84112040
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -3412647653636267/9223372036854775808) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 eps 4)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -7177997053961861/37778931862957161709568) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -3872340515953109/18889465931478580854784) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 8825158483186793/1208925819614629174706176) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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 -3872340515953109/18889465931478580854784) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1662273001970115/604462909807314587353088) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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 -3872340515953109/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/604462909807314587353088) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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 -4110347786689739/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x)) (if (<=.f64 eps 2780529385113647/604462909807314587353088) (+.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 -7978910409456553/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 7253554917687775/2417851639229258349412352) (+.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 -6935975771714791/295147905179352825856) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6640827866535439/147573952589676412928) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 x -8116567392432203/36893488147419103232) (-.f64 (sin.f64 x) (tan.f64 x)) (if (<=.f64 x 280) (-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x)) (-.f64 (sin.f64 x) (tan.f64 x))))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(neg.f64 x)
Outputs
(if (<=.f64 eps -3412647653636267/9223372036854775808) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (pow.f64 eps 4)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -3412647653636267/9223372036854775808) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 4)))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))))
(if (<=.f64 eps -3412647653636267/9223372036854775808) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (+.f64 (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3))))) (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 eps 4)))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))))
(if (<=.f64 eps -7177997053961861/37778931862957161709568) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -7177997053961861/37778931862957161709568) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))))
(if (<=.f64 eps -3872340515953109/18889465931478580854784) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 8825158483186793/1208925819614629174706176) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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 -3872340515953109/18889465931478580854784) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 8825158483186793/1208925819614629174706176) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))))
(if (<=.f64 eps -3872340515953109/18889465931478580854784) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) (if (<=.f64 eps 1662273001970115/604462909807314587353088) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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 -3872340515953109/18889465931478580854784) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))) (if (<=.f64 eps 1662273001970115/604462909807314587353088) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))))
(if (<=.f64 eps -3872340515953109/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/604462909807314587353088) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x 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 -3872340515953109/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x)) (if (<=.f64 eps 2357405348248527/604462909807314587353088) (+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (*.f64 eps (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (pow.f64 (cos.f64 x) 2))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))))
(if (<=.f64 eps -4110347786689739/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x)) (if (<=.f64 eps 2780529385113647/604462909807314587353088) (+.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 -4110347786689739/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x)) (if (<=.f64 eps 2780529385113647/604462909807314587353088) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))))
(if (<=.f64 eps -7978910409456553/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 7253554917687775/2417851639229258349412352) (+.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 -7978910409456553/2417851639229258349412352) (not (<=.f64 eps 7253554917687775/2417851639229258349412352))) (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 1 (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -6935975771714791/295147905179352825856) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6935975771714791/295147905179352825856) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6640827866535439/147573952589676412928) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -6640827866535439/147573952589676412928) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1239148965104995/151115727451828646838272) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 x -8116567392432203/36893488147419103232) (-.f64 (sin.f64 x) (tan.f64 x)) (if (<=.f64 x 280) (-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x)) (-.f64 (sin.f64 x) (tan.f64 x))))
(if (or (<=.f64 x -8116567392432203/36893488147419103232) (not (<=.f64 x 280))) (-.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x)))
(-.f64 (+.f64 x (tan.f64 (+.f64 eps x))) (+.f64 x x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(neg.f64 x)
Compiler

Compiled 700 to 406 computations (42% saved)

soundness282.0ms (1.2%)

Algorithm
egg-herbie
Rules
958×associate-*r*
820×associate-*l*
818×associate-*r*
794×associate-/l*
794×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070425989
1200924567
070425989
1200924567
064119239
1198918793
061614063
1170713469
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 554 to 269 computations (51.4% saved)

end198.0ms (0.9%)

Compiler

Compiled 674 to 305 computations (54.7% saved)

Profiling

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