Details

Time bar (total: 22.4s)

analyze487.0ms (2.2%)

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

Compiled 10 to 7 computations (30% saved)

sample3.8s (17.1%)

Results
2.0s3632×body1024valid
1.0s1265×body2048valid
531.0ms1375×body512valid
335.0ms1984×body256valid
Bogosity

preprocess27.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify18.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
33.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize50.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(tan.f64 x)
✓1.1b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓3.5b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series9.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite99.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0937
120737
2299737
Stop Event
1×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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simplify117.0ms (0.5%)

Algorithm
1×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
1×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)

eval147.0ms (0.7%)

Compiler

Compiled 9844 to 3811 computations (61.3% saved)

prune110.0ms (0.5%)

Pruning

48 alts after pruning (47 fresh and 1 done)

PrunedKeptTotal
New29447341
Fresh000
Picked011
Done000
Total29448342
Error
0.1b
Counts
342 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
32.0b
(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))))))
50.8b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
48.1b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
34.2b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
19.9b
(/.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)))
33.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
49.1b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
34.6b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
19.9b
(-.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))
23.0b
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
22.2b
(-.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))
24.8b
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x))
19.8b
(-.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))
▶19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
42.0b
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
33.9b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
33.7b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
▶34.5b
(-.f64 (+.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))) (tan.f64 x))
19.8b
(-.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))
19.8b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
19.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
33.7b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
21.0b
(-.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (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))
33.7b
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
33.7b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
33.7b
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
✓33.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
33.7b
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
34.6b
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
34.4b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
34.0b
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
48.1b
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
34.3b
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
▶34.7b
(-.f64 (tan.f64 (+.f64 x eps)) x)
33.8b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.3b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
49.5b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
▶38.4b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
32.0b
(+.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)))
31.6b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
31.6b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
33.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
43.5b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.4b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
37.9b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
▶48.4b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
38.3b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
Compiler

Compiled 1673 to 1058 computations (36.8% saved)

localize18.0ms (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))
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓1.9b
(-.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)

series23.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite132.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
013122
1291122
24194122
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
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simplify181.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
082126886
1238726678
Stop Event
1×node limit
Counts
346 → 465
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(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)))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 eps (*.f64 eps (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
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(*.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
✓0.9b
(-.f64 (tan.f64 (+.f64 x eps)) x)
3.5b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (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
x
@-inf
(-.f64 (tan.f64 (+.f64 x eps)) x)

rewrite75.0ms (0.3%)

Algorithm
1×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
1×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))))))

simplify112.0ms (0.5%)

Algorithm
1×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
1×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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.5b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.1b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.5b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series122.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
43.0ms
eps
@-inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
40.0ms
x
@inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
17.0ms
x
@-inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
17.0ms
eps
@inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
2.0ms
eps
@0
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

rewrite91.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1292×associate-*r/
1114×*-commutative
1022×associate-*l/
682×distribute-lft-in
664×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
123646
2318846
Stop Event
1×node limit
Counts
2 → 167
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))))))

simplify233.0ms (1%)

Algorithm
1×egg-herbie
Rules
1280×associate-+r-
690×fma-def
640×associate-/l*
640×associate-*r*
562×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057915483
1166114943
2766714943
Stop Event
1×node limit
Counts
215 → 306
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)))
(log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.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)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)) (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(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))))
(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 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 0)
(+.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 0 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (log.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 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) 1)
(*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(*.f64 1 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (-.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))))))) (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (neg.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)) 1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6) (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)) (cbrt.f64 (log.f64 (-.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))
(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 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 0)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 0 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 1 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
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(sqrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2))
(fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 1 (tan.f64 x))))
(log1p.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) 1) (tan.f64 x)))
(log1p.f64 (+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x))))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
✓1.1b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
3.5b
(tan.f64 (+.f64 x eps))
✓7.5b
(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
x
@-inf
(pow.f64 (tan.f64 (+.f64 x eps)) 3)
1.0ms
eps
@inf
(pow.f64 (tan.f64 (+.f64 x eps)) 3)

rewrite168.0ms (0.8%)

Algorithm
1×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
1×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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 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simplify211.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1712×associate-/l*
1220×associate-*r*
1070×associate-*l*
748×*-commutative
720×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087025923
1248125499
Stop Event
1×node limit
Counts
351 → 505
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.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)))
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(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))) 1)
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1)
(*.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(*.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3/2) (pow.f64 (tan.f64 (+.f64 x eps)) 3/2))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (tan.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))
(*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1) (tan.f64 (+.f64 x eps)))
(*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (sqrt.f64 (tan.f64 (+.f64 x eps)))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 3) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 3) (tan.f64 (+.f64 x eps)))
(*.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (sin.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 1) (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 (*.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 (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)))))
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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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(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.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 (sqrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.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 (tan.f64 (+.f64 eps x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (tan.f64 (+.f64 eps x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (*.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 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))) (/.f64 (tan.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))) (/.f64 (tan.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(/.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 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (/.f64 (+.f64 (tan.f64 x) (tan.f64 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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(/.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 (tan.f64 (+.f64 eps x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (tan.f64 (+.f64 eps x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))))
(/.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 (tan.f64 (+.f64 eps x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (tan.f64 (+.f64 eps x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))))
(/.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (/.f64 (+.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) (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.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) (sin.f64 (+.f64 x eps))) 1) (cos.f64 (+.f64 x eps)))
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(/.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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (sin.f64 (+.f64 eps x))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (sin.f64 (+.f64 eps x))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (sin.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.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 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))
(/.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 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (sin.f64 (+.f64 eps x))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 eps x)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.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))))
(/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (sin.f64 (+.f64 eps x))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (sin.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 6))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(pow.f64 (tan.f64 (+.f64 eps x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))))
(pow.f64 (tan.f64 (+.f64 eps x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3))
(pow.f64 (tan.f64 (+.f64 eps x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(pow.f64 (tan.f64 (+.f64 eps x)) 3)
(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)

localize79.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)
✓0.2b
(pow.f64 (cos.f64 eps) 2)
✓0.3b
(pow.f64 (sin.f64 eps) 2)
✓0.9b
(-.f64 (+.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))) (tan.f64 x))
Compiler

Compiled 119 to 67 computations (43.7% saved)

series8.0ms (0%)

Counts
4 → 44
Calls

18 calls:

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

rewrite140.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1816×associate-/l*
470×associate-+l+
454×add-sqr-sqrt
444×*-un-lft-identity
440×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020116
144784
2625984
Stop Event
1×node limit
Counts
4 → 172
Calls
Call 1
Inputs
(-.f64 (+.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))) (tan.f64 x))
(pow.f64 (sin.f64 eps) 2)
(pow.f64 (cos.f64 eps) 2)
(*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (pow.f64 (tan.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 (tan.f64 eps) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (pow.f64 (tan.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 eps) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (/.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2))) (+.f64 1 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) x) (+.f64 1 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) x) (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 1 (tan.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (tan.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 (pow.f64 (tan.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))))))))

simplify184.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1252×associate--r+
1236×associate--l+
738×associate-*r/
664×fma-def
640×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048311072
1125810666
2534910666
Stop Event
1×node limit
Counts
216 → 296
Calls
Call 1
Inputs
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 eps x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 eps (+.f64 (*.f64 (pow.f64 eps 2) x) x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 (pow.f64 eps 2) x) x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/3 (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 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (+.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 -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)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(*.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)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (*.f64 1/3 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 eps 2)) (+.f64 (*.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
x
(+.f64 (*.f64 (pow.f64 eps 2) x) x)
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 (pow.f64 eps 2) x) x))
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 eps 4) x)) (+.f64 (*.f64 17/45 (*.f64 (pow.f64 eps 6) x)) (+.f64 (*.f64 (pow.f64 eps 2) x) x)))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 x (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 x (+.f64 (*.f64 x (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 eps) (tan.f64 x))))
(+.f64 x (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) x) (-.f64 (tan.f64 eps) (tan.f64 x))))
(+.f64 x (+.f64 (*.f64 x (pow.f64 (tan.f64 eps) 2)) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)))
(+.f64 x (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) x) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)))
(+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1))
(+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 eps) (*.f64 (neg.f64 (tan.f64 x)) 1)))
(+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (+.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (+.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (+.f64 (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (neg.f64 (tan.f64 x))))
(+.f64 (tan.f64 eps) (-.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (tan.f64 x)))
(+.f64 (tan.f64 eps) (+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (*.f64 (neg.f64 (tan.f64 x)) 1)))
(+.f64 (tan.f64 eps) (+.f64 (+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (-.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (-.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (+.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (neg.f64 (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (-.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
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(pow.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (tan.f64 x))))
(fma.f64 1 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 1 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (-.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 x (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps))) (sqrt.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 x) (hypot.f64 1 (tan.f64 eps))) (*.f64 (sqrt.f64 x) (hypot.f64 1 (tan.f64 eps))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))) 2) (cbrt.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))
(*.f64 1 (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 eps) (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 2) 1)
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(/.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 eps))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) 1)
(*.f64 1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (cos.f64 eps) (cos.f64 eps))
(*.f64 (pow.f64 (cos.f64 eps) 2) 1)
(*.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (pow.f64 (cos.f64 eps) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (cos.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 4)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(*.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(/.f64 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps))) 2)
(sqrt.f64 (pow.f64 (cos.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 eps) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 eps) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 2)))
(+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))
(+.f64 x (*.f64 (pow.f64 (tan.f64 eps) 2) x))
(+.f64 (*.f64 x (pow.f64 (tan.f64 eps) 2)) x)
(+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) x) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (pow.f64 (tan.f64 eps) 2))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 eps) 2) x)))
(/.f64 x (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 eps) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (/.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2))) (+.f64 1 (pow.f64 (tan.f64 eps) 2)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) x) (+.f64 1 (pow.f64 (tan.f64 eps) 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) x) (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))
(pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 1)
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 1 (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (tan.f64 eps) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (pow.f64 (tan.f64 eps) 2))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))))
Outputs
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 eps x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 x eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 x (-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 eps (+.f64 (*.f64 (pow.f64 eps 2) x) x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (-.f64 (fma.f64 (*.f64 eps eps) x x) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (fma.f64 (fma.f64 eps eps 1) x eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 (pow.f64 eps 2) x) x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (-.f64 (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 (*.f64 eps eps) x x)) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (-.f64 (fma.f64 1/3 (pow.f64 eps 3) (*.f64 x (fma.f64 eps eps 1))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (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 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1/3 (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (+.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 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 -1/3 (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 -2/15 (pow.f64 x 5) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))
(*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)
(*.f64 x (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 x (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 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 (sin.f64 x) (cos.f64 x)))
(fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.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 (sin.f64 x) (cos.f64 x)))
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(pow.f64 eps 2)
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1
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x
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 eps))) 1))
(pow.f64 (sin.f64 eps) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))
(fma.f64 1/2 (cos.f64 (+.f64 eps eps)) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 eps))) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 eps eps)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2))) 1)
(pow.f64 (cos.f64 eps) 2)
(*.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (cos.f64 eps) (cos.f64 eps))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (pow.f64 (cos.f64 eps) 2) 1)
(pow.f64 (cos.f64 eps) 2)
(*.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 eps)))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (pow.f64 (cos.f64 eps) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (cos.f64 eps)))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 4)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (pow.f64 (cos.f64 eps) 4)))
(*.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (cos.f64 eps) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps))) 2)
(/.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) 2)
(/.f64 (+.f64 1 (cos.f64 (+.f64 eps eps))) 2)
(sqrt.f64 (pow.f64 (cos.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 eps) 2))))
(pow.f64 (cos.f64 eps) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))
(pow.f64 (cos.f64 eps) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(exp.f64 (log.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 eps) 2)) 1))
(pow.f64 (cos.f64 eps) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(+.f64 x (*.f64 (pow.f64 (tan.f64 eps) 2) x))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(+.f64 (*.f64 x (pow.f64 (tan.f64 eps) 2)) x)
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(+.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) x) x)
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))) 1)
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (pow.f64 (tan.f64 eps) 2))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 x (pow.f64 (tan.f64 eps) 2)))
(+.f64 (*.f64 x (pow.f64 (tan.f64 eps) 2)) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 eps) 2) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 x (pow.f64 (tan.f64 eps) 2)))
(+.f64 (*.f64 x (pow.f64 (tan.f64 eps) 2)) (expm1.f64 (log1p.f64 x)))
(/.f64 x (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 eps) 2))))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) x))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2))))
(*.f64 x (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 4)) (fma.f64 (tan.f64 eps) (tan.f64 eps) 1)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (/.f64 (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) x))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))) x)
(*.f64 (/.f64 x (+.f64 1 (fma.f64 (tan.f64 eps) (tan.f64 eps) (pow.f64 (tan.f64 eps) 4)))) (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2))) (+.f64 1 (pow.f64 (tan.f64 eps) 2)))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2))))
(*.f64 x (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 4)) (fma.f64 (tan.f64 eps) (tan.f64 eps) 1)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3))) (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))) x)
(*.f64 (/.f64 x (+.f64 1 (fma.f64 (tan.f64 eps) (tan.f64 eps) (pow.f64 (tan.f64 eps) 4)))) (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)) x) (+.f64 1 (pow.f64 (tan.f64 eps) 2)))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 2))))
(*.f64 x (/.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 4)) (fma.f64 (tan.f64 eps) (tan.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) x) (+.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 2)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (pow.f64 (tan.f64 eps) 2) 2)))) x)
(*.f64 (/.f64 x (+.f64 1 (fma.f64 (tan.f64 eps) (tan.f64 eps) (pow.f64 (tan.f64 eps) 4)))) (+.f64 1 (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)))
(pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 1)
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 1 (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))) 3)
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 3) 1/3)
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (pow.f64 (tan.f64 eps) 2) x) 2))
(fabs.f64 (fma.f64 x (pow.f64 (tan.f64 eps) 2) x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (pow.f64 (tan.f64 eps) 2))))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))) 3))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (pow.f64 (tan.f64 eps) 2))))
(*.f64 x (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (pow.f64 (tan.f64 eps) 2))))
(*.f64 x (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2)))))
(fma.f64 x (pow.f64 (tan.f64 eps) 2) x)

eval1.3s (5.7%)

Compiler

Compiled 75526 to 30813 computations (59.2% saved)

prune907.0ms (4%)

Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New2225342259
Fresh291342
Picked101
Done235
Total2257502307
Error
0.1b
Counts
2307 → 50
Alt Table
Click to see full alt table
StatusErrorProgram
21.0b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
19.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
32.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
20.5b
(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)
19.9b
(/.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)))
24.1b
(/.f64 (sin.f64 eps) (cos.f64 eps))
19.8b
(/.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))))
34.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
19.9b
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
19.9b
(-.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))
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x))
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
▶19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
19.8b
(-.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))
✓19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 eps) (log.f64 (exp.f64 (tan.f64 x)))))) (tan.f64 x))
▶33.9b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
34.7b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
19.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
33.7b
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
33.7b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
33.7b
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
✓33.6b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
34.4b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
✓34.7b
(-.f64 (tan.f64 (+.f64 x eps)) x)
35.0b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
47.3b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
27.5b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
61.3b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (tan.f64 x))
▶50.0b
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
61.7b
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
20.4b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
34.4b
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))
32.0b
(+.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)))
34.7b
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
31.6b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
31.6b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
▶61.7b
(neg.f64 x)
33.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.4b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
50.6b
(exp.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (log.f64 eps) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
50.6b
(exp.f64 (+.f64 (log.f64 eps) (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (log.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
50.6b
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
44.6b
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
▶42.2b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
48.1b
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
50.6b
(exp.f64 (log.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
57.9b
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
24.5b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
Compiler

Compiled 1693 to 1105 computations (34.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.1b
(/.f64 1 (tan.f64 eps))
✓0.3b
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
✓1.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
Compiler

Compiled 67 to 29 computations (56.7% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite118.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01489
132377
2477077
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
(/.f64 1 (tan.f64 eps))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) -1/2) (pow.f64 (tan.f64 eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 eps))) (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)) (/.f64 1 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) -1) (pow.f64 (sqrt.f64 (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 eps) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (tan.f64 eps) -1/2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (sin.f64 eps))) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (tan.f64 eps) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 eps))))))))

simplify201.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts
3 → 32
Calls

12 calls:

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

rewrite85.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
121525
2293425
Stop Event
1×node limit
Counts
3 → 179
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(cos.f64 eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 1 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 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(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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) 1))))) (#(struct:change #<rule 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(neg.f64 (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))))

simplify136.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1154×+-commutative
1068×associate-+l-
908×associate-+r-
626×associate-*r*
620×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04748383
113008069
267698069
Stop Event
1×node limit
Counts
211 → 279
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(*.f64 (tan.f64 eps) 1)
(*.f64 1 (tan.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) 1))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(pow.f64 (tan.f64 eps) 1)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(+.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 eps) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (cos.f64 x) (/.f64 (sin.f64 x) (tan.f64 eps))) (/.f64 1 (tan.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) (neg.f64 (cos.f64 eps))) (cos.f64 x))
(pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 eps) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(pow.f64 (cos.f64 eps) 1)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(log.f64 (exp.f64 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (cos.f64 eps)))
Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(-.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (-.f64 (*.f64 2/15 (pow.f64 eps 5)) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 -1 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (/.f64 (sin.f64 eps) (cos.f64 eps))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -2/15 (pow.f64 x 5) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(tan.f64 eps)
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (tan.f64 eps) 1)
(tan.f64 eps)
(*.f64 1 (tan.f64 eps))
(tan.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(tan.f64 eps)
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(tan.f64 eps)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) 1))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (/.f64 1 (sqrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (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 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (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 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (tan.f64 eps) 1)
(tan.f64 eps)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(tan.f64 eps)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(tan.f64 eps)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(tan.f64 eps)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(tan.f64 eps)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(fabs.f64 (tan.f64 eps))
(log.f64 (exp.f64 (tan.f64 eps)))
(tan.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(tan.f64 eps)
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(tan.f64 eps)
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(tan.f64 eps)
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(tan.f64 eps)
(+.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (tan.f64 x)) (tan.f64 x))
(-.f64 (+.f64 (tan.f64 x) (-.f64 (tan.f64 eps) (tan.f64 x))) (tan.f64 x))
(+.f64 (tan.f64 eps) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
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(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) 3))
(-.f64 (tan.f64 eps) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 eps) (tan.f64 x))))
(-.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(fma.f64 1 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(cos.f64 eps)
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(cos.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(cos.f64 eps)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(cos.f64 eps)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(cos.f64 eps)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(fabs.f64 (cos.f64 eps))
(log.f64 (exp.f64 (cos.f64 eps)))
(cos.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(cos.f64 eps)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
✓0.5b
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
✓3.5b
(tan.f64 (+.f64 eps x))
✓7.5b
(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)
0.0ms
eps
@-inf
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
0.0ms
eps
@inf
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
0.0ms
eps
@0
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)
0.0ms
x
@inf
(pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)

rewrite128.0ms (0.6%)

Algorithm
1×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
1×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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simplify183.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1424×associate-/l*
1114×associate-*r*
978×associate-*l*
570×*-commutative
558×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071622180
1193621978
Stop Event
1×node limit
Counts
428 → 435
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))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(pow.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) 3)
(pow.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) 3)
(pow.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) 3)
(pow.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) 3)
(pow.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) 3)
(pow.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) 3)
(pow.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) 3)
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(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) 1) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (+.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
Outputs
(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 eps (-.f64 1 (/.f64 (neg.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 (*.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 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (/.f64 (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 (*.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 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (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 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (-.f64 1 (/.f64 (neg.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)))
(fma.f64 (-.f64 1 (/.f64 (neg.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 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (cos.f64 eps) (*.f64 x (*.f64 x (sin.f64 eps))))))
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(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) 1) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))))
(/.f64 (-.f64 (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 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (pow.f64 (tan.f64 x) 2)) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (neg.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (pow.f64 (tan.f64 x) 4)) (*.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (pow.f64 (tan.f64 x) 4)) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (pow.f64 (tan.f64 x) 2) 3))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (pow.f64 (tan.f64 x) 4)))) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (+.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 (+.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 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))
(/.f64 (*.f64 1 (-.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 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3) 1/3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 1))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.5b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
1.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 90 to 27 computations (70% saved)

series178.0ms (0.8%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
89.0ms
eps
@-inf
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
32.0ms
eps
@inf
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
27.0ms
x
@-inf
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
25.0ms
x
@inf
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
2.0ms
eps
@0
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))

rewrite118.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1414×associate-/r*
1092×associate-/l*
830×associate-/r/
330×add-sqr-sqrt
326×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015106
1320106
24385106
Stop Event
1×node limit
Counts
2 → 138
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
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simplify204.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1410×associate-+l-
1366×associate-+r-
616×associate-*r*
610×fma-def
534×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051722042
1152721438
2685221438
Stop Event
1×node limit
Counts
186 → 260
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(-.f64 (log.f64 (-.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))) (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 1)
(-.f64 (+.f64 0 (log.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)))) (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3)))) (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))) 1)
(*.f64 1 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(pow.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) 1)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
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(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)))
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(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x)))
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(log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
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(log1p.f64 (+.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (-.f64 -1 (tan.f64 x))))

eval773.0ms (3.4%)

Compiler

Compiled 54833 to 21240 computations (61.3% saved)

prune819.0ms (3.6%)

Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1650151665
Fresh132942
Picked011
Done347
Total1666491715
Error
0.1b
Counts
1715 → 49
Alt Table
Click to see full alt table
StatusErrorProgram
21.0b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
▶19.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
32.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
20.5b
(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)
19.9b
(/.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)))
24.1b
(/.f64 (sin.f64 eps) (cos.f64 eps))
59.7b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
19.8b
(/.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))))
34.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
19.9b
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
19.9b
(-.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))
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x))
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
✓19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
31.7b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
19.8b
(-.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))
✓19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 eps) (log.f64 (exp.f64 (tan.f64 x)))))) (tan.f64 x))
50.6b
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1)) (tan.f64 x))
40.8b
(-.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (tan.f64 x))
33.9b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
49.0b
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
47.4b
(-.f64 (/.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fabs.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 x))
34.7b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
19.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
32.0b
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
▶34.4b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
✓34.7b
(-.f64 (tan.f64 (+.f64 x eps)) x)
33.8b
(-.f64 (tan.f64 eps) (tan.f64 x))
47.3b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
47.3b
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
27.5b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
▶52.6b
(-.f64 eps (tan.f64 x))
34.4b
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))
31.6b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
31.6b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
✓61.7b
(neg.f64 x)
47.7b
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
50.6b
(exp.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (log.f64 eps) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
50.6b
(exp.f64 (+.f64 (log.f64 eps) (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (log.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
▶50.6b
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
44.6b
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓42.2b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
48.1b
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
50.6b
(exp.f64 (log.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
▶57.9b
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
51.6b
(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
24.5b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
Compiler

Compiled 1598 to 1042 computations (34.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓1.9b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Compiler

Compiled 56 to 19 computations (66.1% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite106.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
132278
2432278
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
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simplify126.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
032410535
19739973
239859973
Stop Event
1×node limit
Counts
131 → 186
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(*.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 -1 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)) -1)
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(*.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 3))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.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 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) -1/3) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (cos.f64 eps)) (sin.f64 eps))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) -1/3) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (cos.f64 eps)) (sin.f64 eps))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(-.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) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.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) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.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) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.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 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (-.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (-.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) (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 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (/.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -1/2) (hypot.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(/.f64 (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.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))))) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))))
(pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(pow.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1/2) 2)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -2))
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) -1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 eps (tan.f64 x))
0.0b
(tan.f64 x)
Compiler

Compiled 10 to 4 computations (60% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite114.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1654×add-sqr-sqrt
1638×*-un-lft-identity
1524×add-cube-cbrt
1508×add-cbrt-cube
162×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
115011
2198311
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 eps (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tan.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 eps (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 eps (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) (sqrt.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2) (cbrt.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (tan.f64 x)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (+.f64 eps (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 eps (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 eps (neg.f64 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 eps (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 x)))))))

simplify70.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1532×associate-+r+
1220×associate-*r*
1060×associate-*l*
1014×associate-+l+
748×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211125
13121087
211941083
358611083
Stop Event
1×node limit
Counts
61 → 57
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
eps
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(+.f64 eps (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) eps)
(*.f64 (-.f64 eps (tan.f64 x)) 1)
(*.f64 1 (-.f64 eps (tan.f64 x)))
(*.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) (sqrt.f64 (-.f64 eps (tan.f64 x))))
(*.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2) (cbrt.f64 (-.f64 eps (tan.f64 x))))
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 eps (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 eps (tan.f64 x)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))))
(/.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (+.f64 eps (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 eps (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 eps (neg.f64 (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 eps (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(pow.f64 (-.f64 eps (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 eps (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 x))))
(fma.f64 1 eps (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 x)))
Outputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (neg.f64 x))
(-.f64 eps x)
(+.f64 eps (+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (fma.f64 -1 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(-.f64 (fma.f64 -1/3 (pow.f64 x 3) eps) x)
(+.f64 eps (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 eps (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (-.f64 eps x) (fma.f64 -2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 eps (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5))) x))
(+.f64 (-.f64 eps x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2/15 (pow.f64 x 5))))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 eps (*.f64 (neg.f64 (tan.f64 x)) 1))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (-.f64 eps (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) eps)
(-.f64 eps (tan.f64 x))
(*.f64 (-.f64 eps (tan.f64 x)) 1)
(-.f64 eps (tan.f64 x))
(*.f64 1 (-.f64 eps (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(*.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) (sqrt.f64 (-.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(*.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2))
(-.f64 eps (tan.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 2) (cbrt.f64 (-.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)) (*.f64 eps eps)))
(*.f64 (+.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 eps) (sqrt.f64 (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 (+.f64 eps (tan.f64 x)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))))
(-.f64 eps (tan.f64 x))
(/.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))) (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2)) (+.f64 eps (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 eps (neg.f64 (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (*.f64 eps eps) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 eps (neg.f64 (tan.f64 x))))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)) (*.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 eps eps (*.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 eps (tan.f64 x)) (*.f64 eps eps)))
(pow.f64 (-.f64 eps (tan.f64 x)) 1)
(-.f64 eps (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 eps (tan.f64 x))) 2)
(-.f64 eps (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 eps (tan.f64 x))) 3)
(-.f64 eps (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3) 1/3)
(-.f64 eps (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 2))
(-.f64 eps (tan.f64 x))
(log.f64 (exp.f64 (-.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 eps (tan.f64 x)))))
(-.f64 eps (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 eps (tan.f64 x)) 3))
(-.f64 eps (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(exp.f64 (log.f64 (-.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 x))) 1))
(-.f64 eps (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 eps (tan.f64 x))))
(-.f64 eps (tan.f64 x))
(fma.f64 1 eps (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (tan.f64 x)))
(-.f64 eps (tan.f64 x))

localize59.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
✓0.4b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
3.5b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite118.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1226×associate-*r/
1044×*-commutative
958×associate-*l/
654×distribute-lft-in
636×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122821
2329621
Stop Event
1×node limit
Counts
1 → 106
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.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 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(+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.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 (tan.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 (tan.f64 x)))))))

simplify165.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1368×associate-+r+
1114×+-commutative
758×associate-+l-
568×associate-+r-
462×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03689252
111008938
252018906
Stop Event
1×node limit
Counts
130 → 189
Calls
Call 1
Inputs
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (+.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))) (fabs.f64 (tan.f64 x)))
(-.f64 (+.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fabs.f64 (tan.f64 x)))
(-.f64 (+.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 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)))))) (fabs.f64 (tan.f64 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)))) (fabs.f64 (tan.f64 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))))))))))))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (fabs.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (-.f64 (tan.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))))
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(/.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 (*.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 (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))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
Outputs
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (+.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))) (fabs.f64 (tan.f64 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))) (fabs.f64 (tan.f64 x)))
(-.f64 (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fabs.f64 (tan.f64 x)))
(-.f64 (+.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fabs.f64 (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.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))) (fabs.f64 (tan.f64 x))))
(+.f64 (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fabs.f64 (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (fabs.f64 (tan.f64 x))))
(-.f64 (+.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 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (fabs.f64 (tan.f64 x)))
(-.f64 (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (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) (-.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 x 3)) (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 x x))))))) (fabs.f64 (tan.f64 x)))
(-.f64 (fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 1/6))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (fabs.f64 (tan.f64 x)))
(-.f64 (fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.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)) (fma.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (/.f64 (*.f64 x x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 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)))))) (fabs.f64 (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fabs.f64 (tan.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))) (fabs.f64 (tan.f64 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)))) (fabs.f64 (tan.f64 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 (*.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)))))))) (fabs.f64 (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fabs.f64 (tan.f64 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))))))))))))) (fabs.f64 (tan.f64 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 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))) (fabs.f64 (tan.f64 x))))
(+.f64 (-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 x))))
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(/.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 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2))
(/.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 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))))
(/.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 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (pow.f64 (tan.f64 x) 4)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (pow.f64 (tan.f64 x) 4)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 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 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (*.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 4) (fma.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 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 (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 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.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 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 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 (*.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 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))) (+.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (fma.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 6) (pow.f64 (tan.f64 x) 6)))))
(/.f64 (/.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 x) (tan.f64 (+.f64 eps 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 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 (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 x) (tan.f64 (+.f64 eps 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 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 (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 x) (tan.f64 (+.f64 eps 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 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(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))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
✓0.5b
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
✓1.1b
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
3.5b
(tan.f64 (+.f64 eps x))
Compiler

Compiled 47 to 9 computations (80.9% saved)

series4.0ms (0%)

Counts
3 → 56
Calls

18 calls:

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

rewrite133.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1480×associate-*r/
1262×associate-*l/
764×distribute-lft-in
348×associate-/r*
286×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01267
126167
2365067
Stop Event
1×node limit
Counts
3 → 294
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 eps x)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)))))))

simplify288.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1372×associate-+r-
728×fma-def
684×associate-*r*
650×associate-/l*
572×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060225310
1170122900
2784422900
Stop Event
1×node limit
Counts
350 → 299
Calls
Call 1
Inputs
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) 1)
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(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))) (log.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) 1)
(*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 1)
(*.f64 1 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)) (fabs.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2))
(fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(fabs.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(fabs.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 1))
(log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)))
Outputs
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 eps 4)) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2))))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)) (/.f64 (cos.f64 x) (sin.f64 x))))) (pow.f64 eps 4) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))) (/.f64 eps (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) eps))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (*.f64 x (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (-.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))))))) (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 (/.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (fma.f64 -1/2 (+.f64 1 (/.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)) 1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (*.f64 -1 eps))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 eps (*.f64 -1 x))) (tan.f64 x)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (log.f64 eps) (log.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (log.f64 eps) (log.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
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(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -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 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (log.f64 eps) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 6 (*.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 -6 (/.f64 (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) -1/2)))) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (log.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))))))
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(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(exp.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 1))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) 1)))
(log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 1 (tan.f64 x))))
(log1p.f64 (+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x))))

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
✓0.2b
(pow.f64 (sin.f64 x) 2)
✓0.2b
(pow.f64 (cos.f64 x) 2)
✓3.1b
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
Compiler

Compiled 65 to 36 computations (44.6% saved)

series151.0ms (0.7%)

Counts
4 → 36
Calls

15 calls:

TimeVariablePointExpression
60.0ms
x
@inf
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
51.0ms
eps
@0
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
18.0ms
x
@-inf
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
14.0ms
eps
@-inf
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
6.0ms
eps
@inf
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))

rewrite89.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1012×associate-*r/
852×associate-/r*
808×associate-*l/
696×associate-/l*
614×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01590
131076
2389676
Stop Event
1×node limit
Counts
4 → 132
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (sqrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)) (cbrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)))) (#(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 (cos.f64 x) (/.f64 1 (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 1 (*.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) (/.f64 1 (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 1 (*.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)) (/.f64 1 (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))) (/.f64 1 (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)) (/.f64 1 (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 /.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 1) 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)))))))
((#(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 x 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 (sin.f64 x) (/.f64 1 (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 (/.f64 1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.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) (/.f64 1 (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 1 (*.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)) (/.f64 1 (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))) (/.f64 1 (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)) (/.f64 1 (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 /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))

simplify137.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1560×associate-/r*
1054×associate-/l/
962×associate-/r/
650×associate-+r+
640×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03485116
17964388
232224380
Stop Event
1×node limit
Counts
168 → 210
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 -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))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 1)
(*.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1))
(*.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(*.f64 1 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(*.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
(/.f64 (*.f64 eps (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (sqrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)) (cbrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (exp.f64 1) (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(sqrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 x x)))))
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (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 (cos.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 1 (pow.f64 (cos.f64 x) -2))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 1) 2)
(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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (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 (sin.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 2)
(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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 0)
(+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1))
(-.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) 1)
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
Outputs
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (log.f64 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(exp.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 (/.f64 -1 eps)))))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(exp.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 (/.f64 -1 eps)))))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(exp.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 (/.f64 -1 eps)))))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 eps))) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(exp.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 eps)) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 (/.f64 -1 eps)))))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (*.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (*.f64 (*.f64 2/3 eps) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) eps))
(+.f64 eps (*.f64 eps (fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))))
(+.f64 (*.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (*.f64 2/3 (*.f64 eps (pow.f64 x 4))) (*.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 (*.f64 17/45 eps) (pow.f64 x 6))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (fma.f64 2/3 (*.f64 eps (pow.f64 x 4)) (*.f64 eps (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (fma.f64 eps (*.f64 x x) eps) (*.f64 eps (fma.f64 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6)))))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 x x)))
(+.f64 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 6) -2/45 (*.f64 (pow.f64 x 4) 1/3)) (-.f64 (*.f64 x x) 1))
(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 (pow.f64 x 4) -1/3))
(+.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 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 2/45 (*.f64 x x))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 x x (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 x x (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 1)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 1 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(/.f64 (*.f64 eps (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 eps (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps)
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 eps (/.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))
(*.f64 (/.f64 eps (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))
(*.f64 (/.f64 eps (-.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 eps (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps)
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 eps (/.f64 (+.f64 1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))
(*.f64 (/.f64 eps (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))
(*.f64 (/.f64 eps (-.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))
(pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (sqrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)) (cbrt.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (exp.f64 1) (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (E.f64) (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(sqrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) 2))
(fabs.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
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(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 1))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)

eval690.0ms (3.1%)

Compiler

Compiled 39938 to 16691 computations (58.2% saved)

prune688.0ms (3.1%)

Pruning

68 alts after pruning (59 fresh and 9 done)

PrunedKeptTotal
New1347261373
Fresh63339
Picked101
Done099
Total1354681422
Error
0.0b
Counts
1422 → 68
Alt Table
Click to see full alt table
StatusErrorProgram
21.0b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
32.0b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 1/3 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
19.7b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
19.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (neg.f64 (tan.f64 x)))
✓19.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
42.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (neg.f64 (tan.f64 x)))
32.0b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
31.6b
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
32.0b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
46.1b
(fma.f64 eps (*.f64 x x) eps)
58.8b
(pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)
49.3b
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)
20.5b
(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)
32.3b
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)
31.8b
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
31.8b
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
31.7b
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
24.1b
(/.f64 (sin.f64 eps) (cos.f64 eps))
59.7b
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
19.8b
(/.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))))
34.7b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
19.9b
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
19.9b
(-.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))
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x))
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
✓19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
19.8b
(-.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))
✓19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
34.4b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
19.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 eps) (log.f64 (exp.f64 (tan.f64 x)))))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 x)))
50.6b
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1)) (tan.f64 x))
40.8b
(-.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (tan.f64 x))
33.9b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
49.0b
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
47.4b
(-.f64 (/.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fabs.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 x))
19.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
32.0b
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
✓34.4b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
35.3b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 x))
✓34.7b
(-.f64 (tan.f64 (+.f64 x eps)) x)
33.8b
(-.f64 (tan.f64 eps) (tan.f64 x))
47.3b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
47.3b
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
27.5b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
✓52.6b
(-.f64 eps (tan.f64 x))
52.9b
(-.f64 eps x)
34.4b
(+.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))
31.6b
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
31.6b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
31.6b
(*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
49.3b
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
31.6b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
47.8b
(*.f64 -1 (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 (/.f64 -1 eps)))))
✓61.7b
(neg.f64 x)
47.7b
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
50.6b
(exp.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (log.f64 eps) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
50.6b
(exp.f64 (+.f64 (log.f64 eps) (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (log.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
50.6b
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
50.6b
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))))
44.6b
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓42.2b
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
48.1b
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
56.9b
(exp.f64 (fabs.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
✓57.9b
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
24.5b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
51.6b
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
43.2b
eps
Compiler

Compiled 1162 to 769 computations (33.8% saved)

regimes910.0ms (4.1%)

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

3 calls:

425.0ms
x
215.0ms
eps
199.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.0b7x
0.2b3eps
6.9b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1927 to 775 computations (59.8% saved)

bsearch139.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
93.0ms
2.3658452612184793e-9
1.1253825760508514e-6
45.0ms
-223.88007109323004
-8.882414079934594e-12
Results
96.0ms75×body1024valid
24.0ms179×body256valid
7.0ms27×body512valid
4.0ms7×body2048valid
Compiler

Compiled 1740 to 1016 computations (41.6% saved)

regimes1.1s (4.8%)

Counts
122 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (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 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1)) (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 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x 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 (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.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 (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)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(*.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 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (tan.f64 x))
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(-.f64 (/.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fabs.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.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))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(exp.f64 (log.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 (/.f64 -1 eps)))))
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 eps (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (neg.f64 (tan.f64 x)))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 eps) (log.f64 (exp.f64 (tan.f64 x)))))) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(-.f64 (+.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))) (tan.f64 x))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))))
(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (log.f64 eps) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(exp.f64 (+.f64 (log.f64 eps) (+.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)) (log.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) (-.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (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 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x))
(-.f64 (/.f64 (/.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))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
Calls

3 calls:

612.0ms
x
270.0ms
eps
152.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.0b7x
0.3b3eps
7.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1856 to 740 computations (60.1% saved)

bsearch109.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
67.0ms
2.3658452612184793e-9
1.1253825760508514e-6
41.0ms
-223.88007109323004
-8.882414079934594e-12
Results
57.0ms167×body256valid
33.0ms81×body1024valid
8.0ms33×body512valid
4.0ms7×body2048valid
Compiler

Compiled 1038 to 656 computations (36.8% saved)

regimes630.0ms (2.8%)

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

3 calls:

330.0ms
x
140.0ms
eps
92.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.0b7x
0.3b3eps
7.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1521 to 592 computations (61.1% saved)

bsearch75.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
2.3658452612184793e-9
1.1253825760508514e-6
40.0ms
-223.88007109323004
-8.882414079934594e-12
Results
27.0ms68×body1024valid
25.0ms171×body256valid
13.0ms40×body512valid
5.0ms9×body2048valid
Compiler

Compiled 1074 to 692 computations (35.6% saved)

regimes664.0ms (3%)

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

3 calls:

390.0ms
x
161.0ms
eps
82.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.0b7x
0.5b3eps
7.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1487 to 575 computations (61.3% saved)

bsearch81.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
2.3658452612184793e-9
1.1253825760508514e-6
43.0ms
-223.88007109323004
-8.882414079934594e-12
Results
34.0ms89×body1024valid
25.0ms156×body256valid
12.0ms40×body512valid
2.0ms3×body2048valid
Compiler

Compiled 696 to 476 computations (31.6% saved)

regimes477.0ms (2.1%)

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

3 calls:

285.0ms
x
103.0ms
eps
66.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.0b7x
0.5b3eps
7.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 972 to 370 computations (61.9% saved)

bsearch87.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
2.3658452612184793e-9
1.1253825760508514e-6
55.0ms
-223.88007109323004
-8.882414079934594e-12
Results
45.0ms184×body256valid
27.0ms66×body1024valid
9.0ms34×body512valid
2.0ms4×body2048valid
Compiler

Compiled 688 to 468 computations (32% saved)

regimes406.0ms (1.8%)

Counts
86 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (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 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1)) (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 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x 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 (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.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 (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)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(*.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 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (tan.f64 x))
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(-.f64 (/.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fabs.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (+.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))))
(exp.f64 (+.f64 (log.f64 eps) (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(exp.f64 (log.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (exp.f64 (-.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 (/.f64 -1 eps)))))
(-.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
Calls

3 calls:

214.0ms
x
103.0ms
eps
65.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
10.0b7x
0.5b3eps
7.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 934 to 358 computations (61.7% saved)

bsearch65.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
2.3658452612184793e-9
1.1253825760508514e-6
36.0ms
-223.88007109323004
-8.882414079934594e-12
Results
28.0ms82×body1024valid
22.0ms171×body256valid
9.0ms32×body512valid
2.0ms3×body2048valid
Compiler

Compiled 680 to 460 computations (32.4% saved)

regimes288.0ms (1.3%)

Counts
76 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (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 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1)) (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 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x 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 (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.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 (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)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(*.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 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (tan.f64 x))
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(-.f64 (/.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fabs.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Calls

3 calls:

130.0ms
x
89.0ms
eps
52.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.0b5x
0.5b3eps
7.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 761 to 289 computations (62% saved)

bsearch61.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.3658452612184793e-9
1.1253825760508514e-6
33.0ms
-223.88007109323004
-8.882414079934594e-12
Results
23.0ms183×body256valid
20.0ms58×body1024valid
8.0ms35×body512valid
6.0ms12×body2048valid
Compiler

Compiled 660 to 440 computations (33.3% saved)

regimes264.0ms (1.2%)

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

123.0ms
x
77.0ms
eps
48.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
11.0b5x
0.5b3eps
7.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 743 to 283 computations (61.9% saved)

bsearch65.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
2.3658452612184793e-9
1.1253825760508514e-6
35.0ms
-223.88007109323004
-8.882414079934594e-12
Results
27.0ms81×body1024valid
21.0ms167×body256valid
7.0ms29×body512valid
6.0ms11×body2048valid
Compiler

Compiled 644 to 424 computations (34.2% saved)

regimes239.0ms (1.1%)

Counts
74 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (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 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1)) (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 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x 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 (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.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 (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)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(*.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 (-.f64 (tan.f64 eps) (tan.f64 x)) (+.f64 x (*.f64 x (pow.f64 (tan.f64 eps) 2))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (+.f64 (/.f64 1 eps) (*.f64 eps -1/3))))) (tan.f64 x))
(exp.f64 (fabs.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(exp.f64 (fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(-.f64 (cbrt.f64 (pow.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) 3)) (tan.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (tan.f64 x))
(cbrt.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(-.f64 (/.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fabs.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 3)
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))
(pow.f64 (pow.f64 (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3) 1/3)
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
Calls

3 calls:

98.0ms
x
79.0ms
eps
47.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b3x
12.4b3eps
13.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 727 to 279 computations (61.6% saved)

bsearch61.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.3658452612184793e-9
1.1253825760508514e-6
34.0ms
-223.88007109323004
-8.882414079934594e-12
Results
25.0ms76×body1024valid
22.0ms175×body256valid
7.0ms31×body512valid
3.0ms6×body2048valid
Compiler

Compiled 536 to 388 computations (27.6% saved)

regimes189.0ms (0.8%)

Counts
58 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (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 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps)
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 eps eps) 1)) (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 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x 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 (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fabs.f64 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.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 (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)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
Calls

3 calls:

79.0ms
x
61.0ms
eps
38.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b3x
12.4b3eps
13.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 514 to 186 computations (63.8% saved)

bsearch62.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
2.3658452612184793e-9
1.1253825760508514e-6
34.0ms
-223.88007109323004
-8.882414079934594e-12
Results
25.0ms74×body1024valid
21.0ms167×body256valid
11.0ms43×body512valid
2.0ms4×body2048valid
Compiler

Compiled 482 to 334 computations (30.7% saved)

regimes179.0ms (0.8%)

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

3 calls:

74.0ms
x
58.0ms
eps
36.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b3x
12.5b3eps
13.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 480 to 170 computations (64.6% saved)

bsearch62.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.3658452612184793e-9
1.1253825760508514e-6
35.0ms
-223.88007109323004
-8.882414079934594e-12
Results
27.0ms81×body1024valid
21.0ms168×body256valid
8.0ms33×body512valid
3.0ms6×body2048valid
Compiler

Compiled 392 to 280 computations (28.6% saved)

regimes176.0ms (0.8%)

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

3 calls:

73.0ms
x
57.0ms
eps
36.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b3x
12.5b3eps
13.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 470 to 167 computations (64.5% saved)

bsearch64.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
2.3658452612184793e-9
1.1253825760508514e-6
35.0ms
-223.88007109323004
-8.882414079934594e-12
Results
28.0ms85×body1024valid
21.0ms166×body256valid
7.0ms30×body512valid
4.0ms7×body2048valid
Compiler

Compiled 410 to 298 computations (27.3% saved)

regimes100.0ms (0.4%)

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

3 calls:

42.0ms
x
32.0ms
eps
21.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.5b3x
12.5b3eps
13.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 217 to 85 computations (60.8% saved)

bsearch59.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
2.3658452612184793e-9
1.1253825760508514e-6
33.0ms
-223.88007109323004
-8.882414079934594e-12
Results
22.0ms183×body256valid
22.0ms66×body1024valid
8.0ms34×body512valid
3.0ms5×body2048valid
Compiler

Compiled 410 to 316 computations (22.9% saved)

regimes36.0ms (0.2%)

Counts
27 → 1
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (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 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fabs.f64 (-.f64 (tan.f64 eps) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 eps)) (tan.f64 x))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (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))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

3 calls:

11.0ms
x
11.0ms
eps
8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
24.1b1x
24.1b1eps
24.1b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 206 to 80 computations (61.2% saved)

regimes31.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(-.f64 (tan.f64 eps) (tan.f64 x))
Outputs
(-.f64 (tan.f64 eps) (tan.f64 x))
eps
(-.f64 (tan.f64 eps) (tan.f64 x))
Calls

2 calls:

15.0ms
x
14.0ms
eps
Results
ErrorSegmentsBranch
31.1b3x
24.4b3eps
Compiler

Compiled 65 to 31 computations (52.3% saved)

bsearch45.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
2.3658452612184793e-9
1.1253825760508514e-6
20.0ms
-16243.174852688035
-3813.9603791641644
Results
19.0ms148×body256valid
18.0ms56×body1024valid
4.0ms17×body512valid
2.0ms3×body2048valid
Compiler

Compiled 182 to 136 computations (25.3% saved)

regimes29.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) x)
eps
(+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))
Calls

2 calls:

14.0ms
eps
14.0ms
x
Results
ErrorSegmentsBranch
31.1b3x
26.0b3eps
Compiler

Compiled 60 to 29 computations (51.7% saved)

bsearch48.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.3658452612184793e-9
1.1253825760508514e-6
20.0ms
-16243.174852688035
-3813.9603791641644
Results
20.0ms61×body1024valid
17.0ms135×body256valid
5.0ms22×body512valid
3.0ms6×body2048valid
Compiler

Compiled 228 to 152 computations (33.3% saved)

regimes24.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(fma.f64 eps (*.f64 x x) eps)
Outputs
(-.f64 (tan.f64 (+.f64 x eps)) x)
eps
(-.f64 (tan.f64 (+.f64 x eps)) x)
Calls

2 calls:

11.0ms
x
11.0ms
eps
Results
ErrorSegmentsBranch
31.1b3x
26.0b3eps
Compiler

Compiled 30 to 15 computations (50% saved)

bsearch47.0ms (0.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
2.3658452612184793e-9
1.1253825760508514e-6
21.0ms
-16243.174852688035
-3813.9603791641644
Results
20.0ms60×body1024valid
16.0ms129×body256valid
8.0ms33×body512valid
1.0ms2×body2048valid
Compiler

Compiled 196 to 136 computations (30.6% saved)

regimes8.0ms (0%)

Accuracy

Total -19.1b remaining (-44.2%)

Threshold costs -19.1b (-44.2%)

Counts
4 → 1
Calls
Call 1
Inputs
eps
(neg.f64 x)
(-.f64 eps x)
(-.f64 eps (tan.f64 x))
Outputs
eps
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
43.2b1x
43.2b1eps
Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify85.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
216×distribute-lft-neg-in
184×*-commutative
156×+-commutative
106×neg-sub0
104×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732156
12562156
23122152
33582152
44202152
54802152
65132152
75542152
86052152
96812152
107682152
118212152
128402152
138422152
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -534955578137577/9223372036854775808) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 2597301565578305/2361183241434822606848) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 1/3 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -4911261142184431/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 156428389745057/590295810358705651712) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -5100155801499217/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 1369486280032197/4722366482869645213696) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -1662273001970115/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/151115727451828646838272) (+.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(if (<=.f64 eps -7011769753764849/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 8825158483186793/1208925819614629174706176) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -6769984589841923/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -279564095785883/75557863725914323419136) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/302231454903657293676544) (+.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 -5902958103587057/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2597301565578305/2361183241434822606848) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -6611313076017503/2361183241434822606848) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 4958484807013127/4722366482869645213696) (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -2833419889721787/1180591620717411303424) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1983393922805251/2361183241434822606848) (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -8500259669165361/1180591620717411303424) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 156428389745057/147573952589676412928) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -2408406906263519/2361183241434822606848) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 6989102394647075/9444732965739290427392) (*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -3850) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 8160249282398747/75557863725914323419136) eps (-.f64 (tan.f64 eps) (tan.f64 x))))
(if (<=.f64 eps -3850) (-.f64 (tan.f64 (+.f64 x eps)) x) (if (<=.f64 eps 731966804844795/2361183241434822606848) eps (+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(if (<=.f64 eps -3850) (-.f64 (tan.f64 (+.f64 x eps)) x) (if (<=.f64 eps 1983393922805251/9444732965739290427392) eps (-.f64 (tan.f64 (+.f64 x eps)) x)))
eps
Outputs
(if (<=.f64 eps -534955578137577/9223372036854775808) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 2597301565578305/2361183241434822606848) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 1/3 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -534955578137577/9223372036854775808) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 2597301565578305/2361183241434822606848) (fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 1/3 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -4911261142184431/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 156428389745057/590295810358705651712) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -5100155801499217/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 1369486280032197/4722366482869645213696) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -5100155801499217/18889465931478580854784) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 1369486280032197/4722366482869645213696) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -1662273001970115/302231454903657293676544) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/151115727451828646838272) (+.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (tan.f64 x))))
(if (<=.f64 eps -7011769753764849/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 8825158483186793/1208925819614629174706176) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))))
(if (or (<=.f64 eps -7011769753764849/2417851639229258349412352) (not (<=.f64 eps 8825158483186793/1208925819614629174706176))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -6769984589841923/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -6769984589841923/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/151115727451828646838272) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -279564095785883/75557863725914323419136) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 785801782749509/302231454903657293676544) (+.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 -279564095785883/75557863725914323419136) (not (<=.f64 eps 785801782749509/302231454903657293676544))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -5902958103587057/295147905179352825856) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2597301565578305/2361183241434822606848) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))))
(if (or (<=.f64 eps -5902958103587057/295147905179352825856) (not (<=.f64 eps 2597301565578305/2361183241434822606848))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(if (<=.f64 eps -6611313076017503/2361183241434822606848) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 4958484807013127/4722366482869645213696) (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))))
(if (or (<=.f64 eps -6611313076017503/2361183241434822606848) (not (<=.f64 eps 4958484807013127/4722366482869645213696))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(if (<=.f64 eps -2833419889721787/1180591620717411303424) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1983393922805251/2361183241434822606848) (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (or (<=.f64 eps -2833419889721787/1180591620717411303424) (not (<=.f64 eps 1983393922805251/2361183241434822606848))) (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(if (<=.f64 eps -8500259669165361/1180591620717411303424) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 156428389745057/147573952589676412928) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (or (<=.f64 eps -8500259669165361/1180591620717411303424) (not (<=.f64 eps 156428389745057/147573952589676412928))) (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(if (<=.f64 eps -2408406906263519/2361183241434822606848) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 6989102394647075/9444732965739290427392) (*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (or (<=.f64 eps -2408406906263519/2361183241434822606848) (not (<=.f64 eps 6989102394647075/9444732965739290427392))) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -3850) (-.f64 (tan.f64 eps) (tan.f64 x)) (if (<=.f64 eps 8160249282398747/75557863725914323419136) eps (-.f64 (tan.f64 eps) (tan.f64 x))))
(if (or (<=.f64 eps -3850) (not (<=.f64 eps 8160249282398747/75557863725914323419136))) (-.f64 (tan.f64 eps) (tan.f64 x)) eps)
(if (<=.f64 eps -3850) (-.f64 (tan.f64 (+.f64 x eps)) x) (if (<=.f64 eps 731966804844795/2361183241434822606848) eps (+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(if (<=.f64 eps -3850) (-.f64 (tan.f64 (+.f64 eps x)) x) (if (<=.f64 eps 731966804844795/2361183241434822606848) eps (+.f64 x (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) x))))
(if (<=.f64 eps -3850) (-.f64 (tan.f64 (+.f64 x eps)) x) (if (<=.f64 eps 1983393922805251/9444732965739290427392) eps (-.f64 (tan.f64 (+.f64 x eps)) x)))
(if (or (<=.f64 eps -3850) (not (<=.f64 eps 1983393922805251/9444732965739290427392))) (-.f64 (tan.f64 (+.f64 eps x)) x) eps)
eps
Compiler

Compiled 757 to 461 computations (39.1% saved)

soundness250.0ms (1.1%)

Algorithm
4×egg-herbie
Rules
1462×associate-*r/
1346×associate-*l/
1008×associate-+l+
926×associate-+r+
818×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061614063
1170713469
061614063
1170713469
032410535
19739973
239859973
061614063
1170713469
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 598 to 299 computations (50% saved)

end220.0ms (1%)

Compiler

Compiled 723 to 346 computations (52.1% saved)

Profiling

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