Details

Time bar (total: 22.1s)

analyze465.0ms (2.1%)

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

Compiled 10 to 7 computations (30% saved)

sample3.7s (16.7%)

Results
1.9s3601×body1024valid
1.1s1259×body2048valid
445.0ms1402×body512valid
309.0ms1990×body256valid
4.0ms4×body4096valid
Bogosity

preprocess15.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify19.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
38.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.0b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓4.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series46.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
39.0ms
eps
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
@0
(tan.f64 (+.f64 x eps))
1.0ms
eps
@0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms
eps
@0
(tan.f64 (+.f64 x eps))

rewrite85.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120732
2299732
Stop Event
1×node limit
Counts
2 → 166
Calls
Call 1
Inputs
(tan.f64 (+.f64 x eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
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simplify185.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1032×associate-+r-
714×fma-def
658×associate-/l*
606×associate-*r*
494×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054613904
1157013404
2730513404
Stop Event
1×node limit
Counts
214 → 302
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x (+.f64 (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (/.f64 (*.f64 1/6 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x))))))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 3) (+.f64 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6)))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))

eval145.0ms (0.7%)

Compiler

Compiled 9436 to 3641 computations (61.4% saved)

prune101.0ms (0.5%)

Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New26339302
Fresh000
Picked011
Done000
Total26340303
Error
0.2b
Counts
303 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
35.4b
(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))))))
54.1b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
▶39.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
20.1b
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
20.0b
(/.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))
38.9b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
54.8b
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
52.4b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
39.6b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
24.4b
(-.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))
20.8b
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.7b
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
22.7b
(-.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))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
▶19.6b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
▶42.4b
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
61.2b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
38.6b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
▶39.0b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
51.9b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
40.5b
(-.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))
19.7b
(-.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))
19.7b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
38.8b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
✓38.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
39.6b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
45.7b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
50.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
45.1b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
52.8b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
41.9b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
35.5b
(+.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))))))))))))
34.8b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
34.8b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
▶39.6b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
45.8b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
51.3b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
44.8b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
41.8b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
Compiler

Compiled 1619 to 1036 computations (36% saved)

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))
✓0.2b
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
✓0.3b
(pow.f64 (tan.f64 x) 2)
✓2.7b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
Compiler

Compiled 119 to 48 computations (59.7% saved)

series22.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
5.0ms
eps
@-inf
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
2.0ms
eps
@inf
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
2.0ms
x
@-inf
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
1.0ms
eps
@0
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))

rewrite125.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1124×associate-/r/
436×add-sqr-sqrt
428×*-un-lft-identity
426×pow1
402×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019152
1419132
25907132
Stop Event
1×node limit
Counts
4 → 130
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(pow.f64 (tan.f64 x) 2)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) 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x)))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (tan.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))))))
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simplify201.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1182×associate-+r+
1032×+-commutative
686×associate-*r*
628×fma-def
598×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050819468
1146718746
2705618746
Stop Event
1×node limit
Counts
214 → 269
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 4)) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (cos.f64 x)))
(/.f64 (-.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (cos.f64 x)) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x))) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (cos.f64 x)) (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x))) (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))))))))
(pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(fma.f64 1 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) 1)
(/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps))
(pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 1)
(pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 eps) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (tan.f64 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1))
(+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 0)
(-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)
(/.f64 (*.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) (cos.f64 eps))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 3)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
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(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (tan.f64 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(sqrt.f64 (pow.f64 (tan.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))
(pow.f64 (tan.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3))
(pow.f64 (tan.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(pow.f64 (tan.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))
(pow.f64 (tan.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
(pow.f64 (tan.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) 1)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (pow.f64 (tan.f64 x) 2) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (tan.f64 x) 2))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps))
(/.f64 (pow.f64 (tan.f64 x) 2) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (tan.f64 x) 2))
(pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 1)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(pow.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) 3)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(pow.f64 (pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 3) 1/3)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 eps) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)) (tan.f64 eps)))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) 3))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (tan.f64 eps) 3)))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(exp.f64 (log.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) 1))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 0)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(/.f64 (*.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (sin.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) (cos.f64 eps))
(/.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 3)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3) 1/3)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (tan.f64 (+.f64 x eps)))
✓0.2b
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
4.6b
(tan.f64 (+.f64 x eps))
✓5.4b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 39 to 17 computations (56.4% saved)

series8.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite123.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
932×associate-/r*
824×distribute-rgt-in
784×distribute-lft-in
548×associate-/r/
498×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
127649
2359649
Stop Event
1×node limit
Counts
3 → 194
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 1 (tan.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 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simplify136.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1124×associate-*r*
834×associate-*l*
748×*-commutative
704×associate-/l*
606×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067916594
1203116310
Stop Event
1×node limit
Counts
266 → 374
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.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 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 (cos.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (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)))))) (pow.f64 (sin.f64 eps) 2))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (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)))))) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (pow.f64 (sin.f64 eps) 3))) (/.f64 (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (sin.f64 eps))) (pow.f64 x 2))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.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 (sin.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (pow.f64 (sin.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (pow.f64 (sin.f64 eps) 3))) (/.f64 (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (sin.f64 eps))) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (sin.f64 eps))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (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)))))) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) 2)) (pow.f64 (sin.f64 eps) 3))) (/.f64 (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (sin.f64 eps))) (pow.f64 x 2))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (+.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 3)))) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (/.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (sin.f64 x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)) (pow.f64 (sin.f64 x) 3)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (pow.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 (-.f64 x (*.f64 -1 eps))))
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(/.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 (cos.f64 x) (*.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (sin.f64 x))) (/.f64 1 (tan.f64 (+.f64 x eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 -1 (cos.f64 x)) (*.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))) (sin.f64 x))) (/.f64 -1 (tan.f64 (+.f64 x eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1)
(*.f64 1 (tan.f64 (+.f64 x eps)))
(*.f64 1 (neg.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(*.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 -1 (neg.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (neg.f64 (tan.f64 (+.f64 x eps))) -1)
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) (/.f64 1 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) -1) (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) -1))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 1) (sqrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) 1) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) 1) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2))) (cbrt.f64 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) -1) (cbrt.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) -1) (cbrt.f64 (neg.f64 (tan.f64 (+.f64 x eps)))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) -1)
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (tan.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) -1))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) 1))
(tan.f64 (+.f64 x eps))
(log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (*.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (*.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))) 1)
(*.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
(*.f64 1 (neg.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 1)
(*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 -1 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(*.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) -1))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 1) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 1)
(pow.f64 (tan.f64 (+.f64 x eps)) -1)
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 1))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (*.f64 (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (fma.f64 -1 (*.f64 (+.f64 1/2 (fma.f64 -1/2 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))) (*.f64 (/.f64 (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 (sin.f64 eps) (*.f64 x x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))) -1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (sin.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1) (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) -1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) -1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 1) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) 1) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (sin.f64 (+.f64 eps x))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (sqrt.f64 (sin.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x))))) -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2)) (cbrt.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 -1 (neg.f64 (sin.f64 (+.f64 x eps)))) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 (+.f64 eps x)) (/.f64 1 (sin.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) -1) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (/.f64 1 (*.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) -2) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (sin.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) -2) (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(pow.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) 1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (tan.f64 (+.f64 x eps)) -1)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) 2)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x eps)))) 3)
(/.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 eps x)) 3)))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))
(sqrt.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps))))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (tan.f64 (+.f64 eps x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (+.f64 x eps)))) 1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 x eps))) -1))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.9b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.0b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite136.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify176.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
1.0b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series137.0ms (0.6%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
87.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
27.0ms
eps
@0
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
9.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
5.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)

rewrite100.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1526×associate-*r/
1308×associate-*l/
762×distribute-lft-in
348×associate-/r*
274×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
127346
2351046
Stop Event
1×node limit
Counts
2 → 176
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) 1) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))))

simplify178.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1262×associate-+r-
708×associate-*r*
654×fma-def
648×associate-/l*
616×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060617012
1178416398
2749916398
Stop Event
1×node limit
Counts
216 → 287
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (pow.f64 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/9) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9))))) (+.f64 (*.f64 -2/9 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.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 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 10)) (pow.f64 (cos.f64 eps) 10)) 1/9) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 1/2 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 16)) (pow.f64 (cos.f64 eps) 16)) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 13)) (pow.f64 (cos.f64 eps) 13)) 1/9))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (pow.f64 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
(*.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 1 1/3))
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(/.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 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 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 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (cos.f64 (+.f64 x eps))) (cos.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))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(*.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) 1) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (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 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
Outputs
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x))
(fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 eps)) (cos.f64 eps)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9))))) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 32)) (pow.f64 (cos.f64 eps) 32)) 1/9)))) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 35)) (pow.f64 (cos.f64 eps) 35)) 1/9)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (pow.f64 1 1/3))))) (pow.f64 x 2)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9)) (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 22)) (pow.f64 (cos.f64 eps) 22)) 1/9))) x)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (*.f64 -1/3 (*.f64 1 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) 1) x)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) 1/3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -2/3 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) 2/9 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) 1/3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) -1/3))) (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 22) (pow.f64 (cos.f64 eps) 22)) 1/18)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(fma.f64 (fma.f64 1/3 (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 32) (pow.f64 (cos.f64 eps) 32)) 1/18)))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16)) 1/18))) (fma.f64 -2/9 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (+.f64 (*.f64 -1/3 (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 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))))))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/9 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 10) (pow.f64 (cos.f64 eps) 10)) 1/18))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 1/2 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 16) (pow.f64 (cos.f64 eps) 16))) (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18)) (neg.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 13) (pow.f64 (cos.f64 eps) 13)) 1/18))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 35) (pow.f64 (cos.f64 eps) 35)) 1/18) (pow.f64 (/.f64 (pow.f64 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(log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/3))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
✓0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓6.0b
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
Compiler

Compiled 91 to 22 computations (75.8% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
2.0ms
x
@0
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
2.0ms
eps
@inf
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
1.0ms
x
@inf
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
1.0ms
x
@-inf
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))

rewrite171.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
015178
1338122
24987122
Stop Event
1×node limit
Counts
4 → 255
Calls
Call 1
Inputs
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (tan.f64 x) (tan.f64 eps))
Outputs
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simplify194.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1348×associate-*r*
1190×associate-*l*
1052×*-commutative
1036×associate-/l*
722×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086628453
1280927793
Stop Event
1×node limit
Counts
351 → 453
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps))))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (+.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) (-.f64 1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) (-.f64 1 (tan.f64 eps)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) 2) (-.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (+.f64 (tan.f64 x) (exp.f64 (log1p.f64 (tan.f64 eps)))) 1)
(-.f64 (+.f64 (tan.f64 eps) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4) (*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.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 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (-.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 eps) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 (tan.f64 eps) 3) 3)) (*.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 x) 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2))))))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (exp.f64 (+.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))))
(fma.f64 1 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (*.f64 -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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(+.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 (pow.f64 (sin.f64 eps) 2) (/.f64 (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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))
(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 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(+.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1/4)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (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 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (fma.f64 (tan.f64 x) (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.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 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.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 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 eps) 2))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.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 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (tan.f64 eps) (*.f64 (-.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (pow.f64 (tan.f64 x) 2))))))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (+.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) (pow.f64 (tan.f64 eps) 2)) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (-.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 eps) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (tan.f64 eps) 6)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (tan.f64 eps) 6)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 eps) 4)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 (tan.f64 eps) 3) 3)) (*.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 x) 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 eps) 3) (pow.f64 (tan.f64 eps) 3)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 (tan.f64 eps) 3) 3)) (*.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) 6) (pow.f64 (tan.f64 eps) 6)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 (tan.f64 eps) 3) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 eps) 6) (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) (pow.f64 (tan.f64 x) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 eps) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (pow.f64 (tan.f64 eps) 2) 3)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 x) 4) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (pow.f64 (tan.f64 eps) 4)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 (tan.f64 eps) 6)) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) 4) (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(/.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 3)
(+.f64 (tan.f64 x) (tan.f64 eps))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))
(pow.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(+.f64 (tan.f64 x) (tan.f64 eps))
(sqrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3))
(+.f64 (tan.f64 x) (tan.f64 eps))
(expm1.f64 (log1p.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(+.f64 (tan.f64 x) (tan.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 x) (tan.f64 eps))
(fma.f64 1 (tan.f64 eps) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (tan.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)) (tan.f64 x))

eval1.7s (7.6%)

Compiler

Compiled 93395 to 38238 computations (59.1% saved)

prune1.2s (5.3%)

Pruning

59 alts after pruning (55 fresh and 4 done)

PrunedKeptTotal
New2425422467
Fresh211334
Picked101
Done145
Total2448592507
Error
0.1b
Counts
2507 → 59
Alt Table
Click to see full alt table
StatusErrorProgram
42.4b
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
19.7b
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
35.4b
(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)))
49.4b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
44.9b
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
▶54.1b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
51.5b
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
32.0b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
20.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
39.0b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
20.4b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
✓39.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
50.7b
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
35.4b
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
▶35.4b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
20.1b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
20.0b
(/.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))
20.8b
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
42.4b
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)))
▶31.4b
(/.f64 (sin.f64 eps) (cos.f64 eps))
38.9b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
39.6b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
20.8b
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.0b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
24.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
38.6b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
19.8b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓39.0b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
50.5b
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
19.7b
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
▶19.7b
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
19.7b
(-.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))
19.7b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓38.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.6b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
39.6b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
26.6b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
50.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
30.7b
(-.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))
22.8b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (tan.f64 x))
▶13.7b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
40.6b
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
35.5b
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
35.5b
(+.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)))))))))
34.8b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
34.8b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
46.6b
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
45.0b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
32.1b
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
39.3b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓39.6b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
50.5b
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
26.5b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
45.8b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
51.3b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
31.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
42.8b
(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))))
22.7b
(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 2533 to 1581 computations (37.6% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
✓0.2b
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))
✓0.3b
(/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))
✓3.8b
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
Compiler

Compiled 168 to 32 computations (81% saved)

series16.0ms (0.1%)

Counts
4 → 64
Calls

21 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
2.0ms
eps
@inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
2.0ms
x
@inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
2.0ms
eps
@-inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
1.0ms
x
@0
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))

rewrite141.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1706×associate-/l/
414×add-sqr-sqrt
408×pow1
408×*-un-lft-identity
382×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017126
1387106
26076106
Stop Event
1×node limit
Counts
4 → 216
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps)))
(/.f64 (sin.f64 x) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (tan.f64 x) 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simplify420.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1180×associate-*l*
1166×associate-*r*
982×associate-/r*
848×*-commutative
814×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074618622
1229218124
Stop Event
1×node limit
Counts
280 → 428
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
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x
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(*.f64 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps)))) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 3)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) -1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (cos.f64 eps))) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.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 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.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 (/.f64 1 (tan.f64 x)) -1)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(fma.f64 (-.f64 (/.f64 (*.f64 -1/6 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (*.f64 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))
(fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 1/3) (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
(fma.f64 (-.f64 (/.f64 (*.f64 -1/6 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (*.f64 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4) (fma.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 1/6 (fma.f64 -1/2 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 -1/6 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (*.f64 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))))
(fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 eps) 1/3) (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (pow.f64 x 4) (fma.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 1/6 (+.f64 (fma.f64 -1/2 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (-.f64 (/.f64 (*.f64 (sin.f64 eps) 1/3) (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (cos.f64 eps))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) 0) (cos.f64 eps)) (/.f64 (*.f64 1/6 (sin.f64 eps)) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))))) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 3))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
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(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) 1) (sin.f64 eps))
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(/.f64 (*.f64 (tan.f64 x) (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))) (cos.f64 eps))
(*.f64 (*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 (tan.f64 x) (cos.f64 eps)) (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 x) (/.f64 1 (sin.f64 eps))))
(/.f64 (*.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (cos.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 eps))))) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 eps)))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 eps)))) 2))
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 x)))) 2))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps)))) (neg.f64 (sin.f64 eps)))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (/.f64 (cbrt.f64 (sin.f64 x)) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 eps)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (/.f64 (cos.f64 x) (sin.f64 eps)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 x)))) 2) (cbrt.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))))
(pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 1)
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 2)
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 3)
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) -1)
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 3) 1/3)
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (/.f64 (cos.f64 x) (sin.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (cos.f64 eps))) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (log.f64 (exp.f64 (/.f64 (tan.f64 x) (cos.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))))
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))) 3))
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 1))
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))))
(+.f64 1 (fma.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)) -1))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) 1) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.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 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 (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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) 1) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(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 (/.f64 1 (tan.f64 x)) -1)
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(tan.f64 x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(tan.f64 x)
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite52.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify62.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)
1.0b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓4.0b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
4.6b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 42 to 14 computations (66.7% saved)

series28.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
9.0ms
eps
@0
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
7.0ms
x
@0
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
2.0ms
x
@inf
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
2.0ms
eps
@inf
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)

rewrite132.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1798×associate-*r/
1446×associate-*l/
356×associate-/r*
296×add-sqr-sqrt
282×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
130748
2377148
Stop Event
1×node limit
Counts
2 → 263
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)
Outputs
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simplify250.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1726×associate-/l*
1206×associate-*r*
1072×associate-*l*
844×*-commutative
734×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089838429
1265738333
Stop Event
1×node limit
Counts
311 → 474
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2))) (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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.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)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (*.f64 (*.f64 (-.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 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.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 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.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 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) (-.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 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) 1) (+.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 x) 2)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) 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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) (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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) (*.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))))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 3) x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 3)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5))))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) 2))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 eps) 1) (sin.f64 eps)) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) 2))))) (pow.f64 x 2))) (pow.f64 (sin.f64 eps) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) x)) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (/.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 (pow.f64 (cos.f64 eps) 3) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 3 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) 2)) 1/3)) (*.f64 x x))) (pow.f64 (sin.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 3) x)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (cos.f64 eps)) (sin.f64 eps)) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 5) (pow.f64 (cos.f64 eps) 5)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) 3) 2) (*.f64 (cbrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) 1/3)))) (*.f64 x x))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) 1) (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 1/2 (+.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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (sin.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4))) (+.f64 (*.f64 -1 (/.f64 (*.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 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 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(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
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(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3))
(*.f64 (pow.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 3) (pow.f64 eps 3))
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(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (/.f64 (pow.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))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (pow.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 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) 1) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (/.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))) (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (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 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2) (-.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 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (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)))) (-.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 x) 2)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (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 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2) (-.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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) 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 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))))) (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2) (+.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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) (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 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2) (/.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))))) (-.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 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2) (-.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 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)) (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2)) (*.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 (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 (pow.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))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (pow.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))))))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 6))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 3))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3)))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (sin.f64 x) 2)
✓0.3b
(pow.f64 (cos.f64 x) 2)
✓0.5b
(cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
Compiler

Compiled 96 to 61 computations (36.5% saved)

series31.0ms (0.1%)

Counts
4 → 32
Calls

18 calls:

TimeVariablePointExpression
18.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
4.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
1.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
1.0ms
eps
@0
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)

rewrite94.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1792×associate-*r/
1290×associate-*l/
1242×associate-/r*
352×add-sqr-sqrt
336×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018112
137992
2450092
Stop Event
1×node limit
Counts
4 → 156
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(cbrt.f64 (*.f64 eps (-.f64 1 (neg.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)
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 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) (*.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) 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simplify113.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1406×associate-/r/
1048×associate-+l+
1032×associate-+r+
654×associate-*r*
602×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04539740
111768474
247158460
Stop Event
1×node limit
Counts
188 → 268
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 1 1/3))
(+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 1 1/3))) (*.f64 2/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)))
(+.f64 (*.f64 eps (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 1 1/3))) (*.f64 2/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/9 (*.f64 eps (pow.f64 1 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))) (*.f64 1/9 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))))) (pow.f64 x 4))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 17/45 eps) (+.f64 (*.f64 1/27 eps) (*.f64 2/3 (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps))))))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 17/45 eps) (+.f64 (*.f64 1/27 eps) (*.f64 2/3 (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps))))))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))) (*.f64 1/9 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)))))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 1 1/3))) (*.f64 2/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/9 (*.f64 eps (pow.f64 1 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))) (*.f64 1/9 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))))) (pow.f64 x 4)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 eps 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (pow.f64 eps 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (+.f64 (pow.f64 eps 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)) (pow.f64 x 4))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 17/45 eps) (+.f64 (*.f64 1/27 eps) (*.f64 2/3 (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps))))) (pow.f64 x 6)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)) (pow.f64 x 4)))))))
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
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))))
(+.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 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 1)
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 1 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2))
(*.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps))
(*.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) (*.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)))
(*.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (*.f64 eps (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2)) (cbrt.f64 (+.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)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) 1) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6)) (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (cbrt.f64 eps)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) 3) (pow.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) 3) (cbrt.f64 (*.f64 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 eps (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))
(/.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(/.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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 eps (neg.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 eps (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 1 (*.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 1 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))) (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 1 (*.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 1 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps)) (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 (*.f64 eps (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (*.f64 eps (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (cbrt.f64 eps)) (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) (cbrt.f64 eps)) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) eps) (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) eps) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) 1) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) 1) (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) 1) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) 1) (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps)) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) 1) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) 1) (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (/.f64 (*.f64 eps (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) 1) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) eps) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) 1) (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)) eps) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) 1)
(*.f64 1 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)
(*.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (cbrt.f64 eps))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1/3))
(/.f64 (*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 eps)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (cbrt.f64 eps)) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)
(pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(exp.f64 (*.f64 1/3 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps))))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps))) 1))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(/.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 2 x))))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.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)))
Outputs
(*.f64 eps (pow.f64 1 1/3))
eps
(+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 1 1/3))) (*.f64 2/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (*.f64 x x)))
(fma.f64 eps (*.f64 x x) eps)
(+.f64 (*.f64 eps (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 eps (pow.f64 1 1/3))) (*.f64 2/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/9 (*.f64 eps (pow.f64 1 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))) (*.f64 1/9 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 2/3 eps) (*.f64 1/3 eps)))))) (pow.f64 x 4))))
(+.f64 eps (fma.f64 eps (*.f64 x x) (*.f64 (fma.f64 2/9 eps (fma.f64 (cbrt.f64 eps) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps 1/3)) (*.f64 1/9 (cbrt.f64 (*.f64 eps eps)))) (*.f64 1/3 (*.f64 eps 1/3)))) (pow.f64 x 4))))
(+.f64 eps (fma.f64 (+.f64 (*.f64 eps 1/3) (*.f64 (fma.f64 1/9 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps 2/9) (cbrt.f64 (/.f64 1 eps)))) (cbrt.f64 eps))) (pow.f64 x 4) (*.f64 eps (*.f64 x x))))
(+.f64 eps (fma.f64 (+.f64 (*.f64 eps 1/3) (*.f64 (fma.f64 1/9 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps 2/9) (cbrt.f64 (/.f64 1 eps)))) (cbrt.f64 eps))) (pow.f64 x 4) (*.f64 (*.f64 eps x) x)))
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(fma.f64 (+.f64 (*.f64 1/3 (-.f64 (*.f64 eps 17/45) (fma.f64 1/27 eps (*.f64 2/3 (*.f64 eps 1/3))))) (fma.f64 (cbrt.f64 eps) (fma.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps 1/3)) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps 17/45) (fma.f64 1/27 eps (*.f64 2/3 (*.f64 eps 1/3)))))) (fma.f64 2/9 (*.f64 eps 1/3) (*.f64 1/3 (*.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps 1/3)) (*.f64 1/9 (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps)))))) (pow.f64 x 6) (+.f64 eps (fma.f64 eps (*.f64 x x) (*.f64 (fma.f64 2/9 eps (fma.f64 (cbrt.f64 eps) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps 1/3)) (*.f64 1/9 (cbrt.f64 (*.f64 eps eps)))) (*.f64 1/3 (*.f64 eps 1/3)))) (pow.f64 x 4)))))
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(fma.f64 1/3 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (fma.f64 1/3 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 eps 1/3) (cbrt.f64 (/.f64 (/.f64 1 eps) eps)))) (cbrt.f64 eps)))
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(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
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(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
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(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
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(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
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(pow.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1/3)
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(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
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(-.f64 1 (*.f64 x x))
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(pow.f64 x 2)
(*.f64 x x)
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(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
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(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps))
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(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) eps)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (cbrt.f64 eps))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))) (cbrt.f64 (sqrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))))
(/.f64 (*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (cbrt.f64 eps) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))
(*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))))
(/.f64 (*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)))) (cbrt.f64 eps)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))))) (cbrt.f64 eps))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 eps)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (cbrt.f64 eps) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))
(*.f64 (/.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (cbrt.f64 eps)) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)))) (cbrt.f64 eps)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4))))) (cbrt.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1)
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/3)
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1/6) 2)
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3)
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) 2))
(fabs.f64 (cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(exp.f64 (*.f64 1/3 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps))))
(pow.f64 (exp.f64 1/3) (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps)))
(cbrt.f64 (*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps))) 1))
(pow.f64 (exp.f64 1/3) (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps)))
(cbrt.f64 (*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps)) 1/3))
(pow.f64 (exp.f64 1/3) (+.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (log.f64 eps)))
(cbrt.f64 (*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))
(cbrt.f64 (+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)))
(cbrt.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(fma.f64 1/2 (cos.f64 (+.f64 x x)) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 x))) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 x x)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (cos.f64 x) (cos.f64 x))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
(*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
(*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 1) 2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
(*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 x x))))
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(fabs.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))
(pow.f64 (cos.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))
(pow.f64 (cos.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) -1/2))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (tan.f64 x) (tan.f64 eps))
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.3b
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
✓2.7b
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Compiler

Compiled 105 to 40 computations (61.9% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite112.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1832×associate-/r*
482×associate-+l+
422×add-sqr-sqrt
414×*-un-lft-identity
412×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018100
1404100
25732100
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
Outputs
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simplify160.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1426×associate-*r/
1286×+-commutative
1068×associate-+l-
802×associate-+r-
608×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041017365
1116616713
2523416713
Stop Event
1×node limit
Counts
163 → 202
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x))) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (tan.f64 x) 2)) 1) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)))) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (tan.f64 x) (fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (cos.f64 x))
(pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(fma.f64 1 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1))
(+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 0)
(-.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)
(*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))
(*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (tan.f64 eps))
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x))
(*.f64 (*.f64 (*.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))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4)))
(*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (tan.f64 eps))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(*.f64 (*.f64 (*.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 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)

eval1.5s (6.6%)

Compiler

Compiled 98566 to 39419 computations (60% saved)

prune992.0ms (4.5%)

Pruning

90 alts after pruning (83 fresh and 7 done)

PrunedKeptTotal
New2059402099
Fresh74350
Picked011
Done268
Total2068902158
Error
0.0b
Counts
2158 → 90
Alt Table
Click to see full alt table
StatusErrorProgram
42.4b
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
19.7b
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
35.4b
(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)))
44.9b
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
54.5b
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
✓54.1b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
53.5b
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
53.1b
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
35.9b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
55.4b
(pow.f64 (pow.f64 eps 1/3) 3)
▶53.1b
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
31.4b
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
35.4b
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
48.7b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
51.5b
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
32.0b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
▶20.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
39.0b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
20.4b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
✓39.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
50.7b
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
35.6b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
47.7b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
31.9b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
48.3b
(pow.f64 (cbrt.f64 eps) 3)
20.1b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
20.0b
(/.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))
20.8b
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
✓31.4b
(/.f64 (sin.f64 eps) (cos.f64 eps))
38.9b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
39.6b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
20.8b
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.0b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
24.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
38.6b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
19.8b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓39.0b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
50.5b
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
19.7b
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
44.4b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
19.7b
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓19.7b
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
19.7b
(-.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))
19.7b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓38.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.6b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
39.6b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
26.6b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
▶50.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
30.7b
(-.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))
22.8b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (tan.f64 x))
13.7b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (tan.f64 x))) 3))
2.5b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (+.f64 (-.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 1) (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) (tan.f64 x))))
13.6b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
▶0.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
40.6b
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
59.1b
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
34.8b
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
▶51.5b
(+.f64 eps (*.f64 eps (*.f64 x x)))
48.8b
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
44.4b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
35.8b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) 3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
32.0b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
40.9b
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
31.5b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
34.8b
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
47.3b
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
34.8b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
34.8b
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
31.4b
(tan.f64 eps)
50.0b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
46.6b
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
45.0b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
39.3b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓39.6b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
50.5b
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
32.1b
(log1p.f64 (expm1.f64 (tan.f64 eps)))
26.5b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
45.8b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
44.4b
(log.f64 (exp.f64 (tan.f64 eps)))
51.3b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
31.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
37.3b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
42.8b
(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))))
49.3b
(exp.f64 (log.f64 (tan.f64 eps)))
22.7b
(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))
52.8b
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
39.2b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
48.0b
eps
Compiler

Compiled 3021 to 1969 computations (34.8% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 182 to 36 computations (80.2% saved)

series11.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
eps
@-inf
(*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
1.0ms
eps
@inf
(*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
1.0ms
x
@inf
(*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
1.0ms
x
@-inf
(*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
1.0ms
eps
@0
(*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))

rewrite80.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1492×associate-/r/
1356×associate-/l/
502×distribute-lft-in
308×add-sqr-sqrt
304×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01486
129782
2422682
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(*.f64 (tan.f64 x) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
Outputs
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x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))))))

simplify111.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1242×distribute-lft-in
1238×distribute-rgt-in
870×associate-/l*
858×times-frac
550×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03779010
111698652
257988640
Stop Event
1×node limit
Counts
128 → 171
Calls
Call 1
Inputs
(*.f64 (sin.f64 eps) x)
(+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/3 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (*.f64 2/15 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/3 (*.f64 (pow.f64 x 3) (sin.f64 eps)))))
(+.f64 (*.f64 2/15 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 (*.f64 17/315 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 x 3) (sin.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2/3 (/.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)))) (pow.f64 x 5))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2)))))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 x) (sin.f64 eps)))) 1)
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) 1)
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(pow.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) 1))
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) 1) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 1) (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (+.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))))
(+.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (+.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 1))
(+.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) 1)
(/.f64 (tan.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (/.f64 (cos.f64 eps) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (cos.f64 eps)))
(/.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))))
(/.f64 1 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (tan.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (/.f64 (cos.f64 eps) (sqrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))))
(/.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (/.f64 (cos.f64 eps) (*.f64 (sqrt.f64 (tan.f64 x)) (sin.f64 eps)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) 2) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (/.f64 (cos.f64 eps) (cbrt.f64 (*.f64 (tan.f64 x) (sin.f64 eps))))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cbrt.f64 (tan.f64 x)))))
(/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (tan.f64 x))) (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (tan.f64 x)) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (tan.f64 x)) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (*.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (tan.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 x))
(/.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 eps)) (tan.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (cbrt.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (tan.f64 x)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 -1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (neg.f64 (neg.f64 (cos.f64 eps)))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (cos.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (sin.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) 1) (*.f64 (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (tan.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 eps))) (*.f64 (cos.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 eps)) (sin.f64 x)) (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (tan.f64 x))) (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
Outputs
(*.f64 (sin.f64 eps) x)
(+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/3 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) x (*.f64 (*.f64 1/3 (pow.f64 x 3)) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/15 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/3 (*.f64 (pow.f64 x 3) (sin.f64 eps)))))
(fma.f64 2/15 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 (sin.f64 eps) x (*.f64 (*.f64 1/3 (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 2/15 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 (*.f64 2/15 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 (*.f64 17/315 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 x 3) (sin.f64 eps))))))
(fma.f64 2/15 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 (sin.f64 eps) x (fma.f64 17/315 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (*.f64 (*.f64 1/3 (pow.f64 x 3)) (sin.f64 eps)))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7)))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) 3) (pow.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (/.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 (/.f64 (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps)))
(exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (/.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 (/.f64 (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 1))
(/.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (/.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 (/.f64 (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(/.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (/.f64 (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 (/.f64 (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))) (pow.f64 (tan.f64 x) 2)) (cos.f64 eps)))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 eps (*.f64 eps (*.f64 x x)))
✓7.9b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite68.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1650×add-sqr-sqrt
1632×*-un-lft-identity
1526×add-cube-cbrt
1510×add-cbrt-cube
158×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0732
115128
2210128
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x x))
(+.f64 eps (*.f64 eps (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 eps (*.f64 x x)))) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (*.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x x) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))) (neg.f64 (-.f64 eps (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps (*.f64 x x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (*.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (*.f64 x x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 x x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) eps eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps (*.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 eps)) (*.f64 x (sqrt.f64 eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 2) (cbrt.f64 (*.f64 eps (*.f64 x x))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (*.f64 eps (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps x) x eps)))))

simplify75.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
930×associate--r+
860×+-commutative
836×unswap-sqr
724×fma-def
658×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01322068
13151992
213591926
367161926
Stop Event
1×node limit
Counts
102 → 70
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (pow.f64 x 2))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x x)))) 1)
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps))) 1)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 eps (*.f64 x x)))) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 eps (*.f64 eps (*.f64 x x)))))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 (fma.f64 eps (*.f64 x x) eps) 1)
(*.f64 1 (fma.f64 eps (*.f64 x x) eps))
(*.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))
(*.f64 (+.f64 (*.f64 x x) 1) eps)
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))
(/.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))) (neg.f64 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))
(pow.f64 (fma.f64 eps (*.f64 x x) eps) 1)
(pow.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2)
(pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 2))
(log.f64 (exp.f64 (fma.f64 eps (*.f64 x x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps)))
(exp.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (*.f64 x x) eps)))
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 (*.f64 x x) eps eps)
(fma.f64 1 eps (*.f64 eps (*.f64 x x)))
(fma.f64 1 (*.f64 eps (*.f64 x x)) eps)
(fma.f64 (*.f64 x (sqrt.f64 eps)) (*.f64 x (sqrt.f64 eps)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 2) (cbrt.f64 (*.f64 eps (*.f64 x x))) eps)
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (*.f64 eps (*.f64 x x)))
(fma.f64 (*.f64 eps x) x eps)
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 1 (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 -1 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 x x 1))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (fma.f64 x x 1))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (fma.f64 x x 1))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (fma.f64 x x 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x x)))) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(*.f64 eps (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(*.f64 eps (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(*.f64 eps (*.f64 x x))
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(fabs.f64 (*.f64 eps (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(*.f64 eps (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x x)))))
(*.f64 eps (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(*.f64 eps (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x x))) 1))
(*.f64 eps (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps))) 1)
(*.f64 eps (fma.f64 x x 1))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 eps (*.f64 x x)))) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (fma.f64 eps (pow.f64 x 4) (neg.f64 eps))) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))
(*.f64 eps (+.f64 1 (*.f64 x x)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 eps (+.f64 (*.f64 x x) 1))
(*.f64 eps (fma.f64 x x 1))
(*.f64 (fma.f64 eps (*.f64 x x) eps) 1)
(*.f64 eps (fma.f64 x x 1))
(*.f64 1 (fma.f64 eps (*.f64 x x) eps))
(*.f64 eps (fma.f64 x x 1))
(*.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2))
(*.f64 eps (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 eps (fma.f64 x x 1))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (fma.f64 eps (pow.f64 x 4) (neg.f64 eps))) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps eps (*.f64 eps (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (*.f64 eps (+.f64 eps (*.f64 x (*.f64 x (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) 1) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 6)) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(*.f64 (+.f64 (*.f64 x x) 1) eps)
(*.f64 eps (fma.f64 x x 1))
(/.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (fma.f64 eps (pow.f64 x 4) (neg.f64 eps))) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))
(/.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps eps (*.f64 eps (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (*.f64 eps (+.f64 eps (*.f64 x (*.f64 x (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) 1) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 6)) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (fma.f64 eps (pow.f64 x 4) (neg.f64 eps))) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps eps (*.f64 eps (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (*.f64 eps (+.f64 eps (*.f64 x (*.f64 x (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) 1) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 6)) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (-.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 x x))))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps eps (*.f64 eps (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (*.f64 eps (+.f64 eps (*.f64 x (*.f64 x (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) 1) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 6)) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x x)) eps))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (fma.f64 eps (pow.f64 x 4) (neg.f64 eps))) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4)))) (neg.f64 (-.f64 eps (*.f64 eps (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (pow.f64 x 4))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(/.f64 (*.f64 eps (fma.f64 eps (pow.f64 x 4) (neg.f64 eps))) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x x)) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (-.f64 (*.f64 eps (*.f64 x x)) eps)))))
(*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps eps (*.f64 eps (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) (pow.f64 eps 3)) (*.f64 eps (+.f64 eps (*.f64 x (*.f64 x (fma.f64 eps (*.f64 x x) (neg.f64 eps)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) 1) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 6)) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x x))))
(pow.f64 (fma.f64 eps (*.f64 x x) eps) 1)
(*.f64 eps (fma.f64 x x 1))
(pow.f64 (sqrt.f64 (fma.f64 eps (*.f64 x x) eps)) 2)
(*.f64 eps (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x x) eps)) 3)
(*.f64 eps (fma.f64 x x 1))
(pow.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3) 1/3)
(*.f64 eps (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 2))
(*.f64 eps (fma.f64 x x 1))
(log.f64 (exp.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 eps (fma.f64 x x 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (*.f64 x x) eps))))
(*.f64 eps (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (fma.f64 eps (*.f64 x x) eps) 3))
(*.f64 eps (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 eps (fma.f64 x x 1))
(exp.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 eps (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (*.f64 x x) eps)) 1))
(*.f64 eps (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (fma.f64 eps (*.f64 x x) eps)))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 eps (*.f64 x x) eps)
(*.f64 eps (fma.f64 x x 1))
(fma.f64 (*.f64 x x) eps eps)
(*.f64 eps (fma.f64 x x 1))
(fma.f64 1 eps (*.f64 eps (*.f64 x x)))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 1 (*.f64 eps (*.f64 x x)) eps)
(*.f64 eps (fma.f64 x x 1))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (*.f64 x (sqrt.f64 eps)) eps)
(*.f64 eps (fma.f64 x x 1))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x x)))
(*.f64 eps (fma.f64 x x 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 2) (cbrt.f64 (*.f64 eps (*.f64 x x))) eps)
(*.f64 eps (fma.f64 x x 1))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (*.f64 eps (*.f64 x x)))
(fma.f64 eps (*.f64 x x) (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)))
(fma.f64 (*.f64 eps x) x eps)
(*.f64 eps (fma.f64 x x 1))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
✓4.6b
(tan.f64 (+.f64 eps x))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite100.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122832
2327832
Stop Event
1×node limit
Counts
2 → 167
Calls
Call 1
Inputs
(tan.f64 (+.f64 eps x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
Outputs
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x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))))))

simplify176.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1600×associate-+l-
1314×associate-+r-
674×fma-def
572×associate-*r*
530×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051411891
1141911303
2674611303
Stop Event
1×node limit
Counts
215 → 291
Calls
Call 1
Inputs
(/.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))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(fabs.f64 (tan.f64 (+.f64 eps x)))
(+.f64 (*.f64 -1 x) (fabs.f64 (tan.f64 (+.f64 eps x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (fabs.f64 (tan.f64 (+.f64 eps x)))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (fabs.f64 (tan.f64 (+.f64 eps x))))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 eps x)))) 1)
(*.f64 (tan.f64 (+.f64 eps x)) 1)
(*.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 1 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)) (fabs.f64 (cbrt.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (fabs.f64 (cbrt.f64 (tan.f64 (+.f64 eps x)))) (fabs.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 eps x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (cbrt.f64 (sin.f64 (+.f64 eps x)))) (/.f64 (cos.f64 (+.f64 eps x)) (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (pow.f64 (tan.f64 x) 2)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (fabs.f64 (cos.f64 (+.f64 eps x))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (*.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.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)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3)) (/.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 (+.f64 eps x)) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 (+.f64 eps x)) 3)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 eps x))) (sqrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2) (cbrt.f64 (tan.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
Outputs
(/.f64 (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 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))
(+.f64 (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 (*.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 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.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 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x 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 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 (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 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 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps)) (*.f64 x (*.f64 x (sin.f64 eps)))))
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(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (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 x eps)) (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 x eps)) (tan.f64 x))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
✓0.4b
(pow.f64 (cos.f64 eps) 3)
✓0.4b
(pow.f64 (sin.f64 eps) 3)
✓18.3b
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
Compiler

Compiled 37 to 22 computations (40.5% saved)

series6.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
2.0ms
eps
@-inf
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
1.0ms
eps
@0
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
0.0ms
eps
@0
(pow.f64 (sin.f64 eps) 3)
0.0ms
eps
@0
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))

rewrite113.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1144×associate-/r*
922×*-commutative
914×associate-/l*
780×unswap-sqr
638×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01280
126258
2307258
Stop Event
1×node limit
Counts
4 → 209
Calls
Call 1
Inputs
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(pow.f64 (sin.f64 eps) 3)
(pow.f64 (cos.f64 eps) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
Outputs
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(sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6)) (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 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(cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))) 1) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (sin.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3/2) (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) 1) (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)) (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (sqrt.f64 (pow.f64 (cos.f64 eps) -3))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (sqrt.f64 (pow.f64 (cos.f64 eps) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3) (/.f64 (sin.f64 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(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 -1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))))))

simplify111.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1286×distribute-lft-neg-out
1036×associate-/r/
1030×associate-*r*
986×distribute-lft-neg-in
976×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04875523
112064935
253374935
Stop Event
1×node limit
Counts
233 → 277
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps 3)
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (pow.f64 eps 3))
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (*.f64 -41/3024 (pow.f64 eps 9)) (+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 7/8 (pow.f64 eps 4)) (*.f64 -3/2 (pow.f64 eps 2))))
(+.f64 1 (+.f64 (*.f64 7/8 (pow.f64 eps 4)) (+.f64 (*.f64 -3/2 (pow.f64 eps 2)) (*.f64 -61/240 (pow.f64 eps 6)))))
(pow.f64 eps 3)
(+.f64 (pow.f64 eps 5) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 88/189 (pow.f64 eps 9)) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(*.f64 (sin.f64 eps) (pow.f64 (pow.f64 (cos.f64 eps) -3) 1/3))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 1 1/3))
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) -3)) (sin.f64 eps))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) -3) 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 1/3) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 eps) 3) 1/6)) (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) -3) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) -3) 1/6)))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 1/6) (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) 1/6)) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/6)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12) (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12) (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6) (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6) (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6) (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12)) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6) (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6)) (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/12) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(/.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 eps))))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (/.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (*.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))) 1) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3))) 1)
(*.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 eps) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3))
(*.f64 (sin.f64 eps) (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 3) 1)
(*.f64 1 (pow.f64 (sin.f64 eps) 3))
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (sin.f64 eps) 3/2))
(*.f64 (pow.f64 (sin.f64 eps) 3/2) (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3/2))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (neg.f64 (sin.f64 eps))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 eps) 3)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3/2)) (neg.f64 (pow.f64 (sin.f64 eps) 3/2)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3) (sin.f64 eps))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3/2))) (pow.f64 (sin.f64 eps) 3/2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (sin.f64 eps) 3))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 3/4) (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2))) (*.f64 (pow.f64 (sin.f64 eps) 3/4) (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2) (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2) (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2)) (pow.f64 (sin.f64 eps) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2)) (pow.f64 (sin.f64 eps) 3/4)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (sin.f64 eps) 3/4)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (sin.f64 eps) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 3/2)) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 3/4) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2)) (*.f64 (pow.f64 (sin.f64 eps) 3/4) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2)))
(/.f64 (*.f64 (sin.f64 eps) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 eps)) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)))
(sqrt.f64 (pow.f64 (sin.f64 eps) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3)))
(+.f64 (*.f64 (cos.f64 eps) 1/2) (*.f64 (cos.f64 eps) (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))
(+.f64 (*.f64 1/2 (cos.f64 eps)) (*.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 3))) 1)
(*.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))
(*.f64 (cos.f64 eps) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3))
(*.f64 (cos.f64 eps) (neg.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2))))
(*.f64 (pow.f64 (cos.f64 eps) 3) 1)
(*.f64 1 (pow.f64 (cos.f64 eps) 3))
(*.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (pow.f64 (cos.f64 eps) 3/2) (pow.f64 (cos.f64 eps) 3/2))
(*.f64 (pow.f64 (cos.f64 eps) 3/2) (neg.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3/2))))
(*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))
(*.f64 (pow.f64 (cos.f64 eps) 2) (neg.f64 (neg.f64 (cos.f64 eps))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3)))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (sqrt.f64 (cos.f64 eps)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cos.f64 eps) 2)) (cbrt.f64 (cos.f64 eps)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3/2)) (neg.f64 (pow.f64 (cos.f64 eps) 3/2)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) (neg.f64 (cos.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 3) (pow.f64 (sqrt.f64 (cos.f64 eps)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3) (cos.f64 eps))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (pow.f64 (cos.f64 eps) 2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3/2))) (pow.f64 (cos.f64 eps) 3/2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2))) (cos.f64 eps))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (cos.f64 eps) 3))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2)))
(*.f64 (*.f64 (pow.f64 (cos.f64 eps) 3/4) (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2))) (*.f64 (pow.f64 (cos.f64 eps) 3/4) (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2) (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2) (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2)) (pow.f64 (cos.f64 eps) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2)) (pow.f64 (cos.f64 eps) 3/4)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2) (pow.f64 (cos.f64 eps) 3/4)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2) (pow.f64 (cos.f64 eps) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2)) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 3/2)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2)))
(*.f64 (*.f64 (pow.f64 (cos.f64 eps) 3/4) (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2)) (*.f64 (pow.f64 (cos.f64 eps) 3/4) (pow.f64 (sqrt.f64 (cos.f64 eps)) 3/2)))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps))) (cos.f64 eps)) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 eps) 3)))
(sqrt.f64 (pow.f64 (cos.f64 eps) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 eps) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 eps) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) 1)
(*.f64 (sin.f64 eps) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) -3))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(*.f64 (pow.f64 (sin.f64 eps) 3/2) (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (/.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)) (sin.f64 eps))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)) (/.f64 (sin.f64 eps) 1))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sin.f64 eps) 3/2))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) 1))
(*.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sin.f64 eps) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)) (/.f64 1 (pow.f64 (cos.f64 eps) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (pow.f64 (cos.f64 eps) 3/2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3/2)))
(*.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 eps) 3)) (neg.f64 (pow.f64 (sin.f64 eps) 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) 1) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 3/2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3/2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3/2)) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 3/2)))
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) 1) (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)) (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps)))) 2)
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (sqrt.f64 (pow.f64 (cos.f64 eps) -3))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (sqrt.f64 (pow.f64 (cos.f64 eps) -3))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3)) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3))) 1))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3)))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))))
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(fma.f64 (pow.f64 eps 5) -1/2 (pow.f64 eps 3))
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(fma.f64 -1/2 (pow.f64 eps 5) (fma.f64 13/120 (pow.f64 eps 7) (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 (pow.f64 eps 7) 13/120 (pow.f64 eps 3)))
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1
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(pow.f64 (cos.f64 eps) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 eps) 3)))
(pow.f64 (cos.f64 eps) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 eps))))
(pow.f64 (cos.f64 eps) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 eps) 3)))
(pow.f64 (cos.f64 eps) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) 1)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (sin.f64 eps) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) -3))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (pow.f64 (sin.f64 eps) 3/2) (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (/.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)) (sin.f64 eps))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)) (/.f64 (sin.f64 eps) 1))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sin.f64 eps) 3/2))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) 1))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)) (/.f64 1 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (pow.f64 (cos.f64 eps) 3/2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3/2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 eps) 3)) (neg.f64 (pow.f64 (sin.f64 eps) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (sin.f64 eps) 1) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 3/2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3/2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 3/2)) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 3/2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 3/2) (cos.f64 eps)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3/2) 1) (*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (cos.f64 eps) -3)))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)) (+.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (-.f64 eps eps)))) 2)
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (cos.f64 eps)) 2) (+.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))))
(*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 3) (fma.f64 (cos.f64 eps) (cos.f64 (+.f64 eps eps)) (cos.f64 eps))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (sqrt.f64 (pow.f64 (cos.f64 eps) -3))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (sqrt.f64 (pow.f64 (cos.f64 eps) -3))))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3/2)))))
(*.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 1/3)))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))))
(*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3/2)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3)) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) -3)) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3)))
(*.f64 (pow.f64 (cos.f64 eps) -3) (pow.f64 (sin.f64 eps) 3))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)) 2)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3)) -1)
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3))) 1))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 3) (neg.f64 (pow.f64 (cos.f64 eps) 3)))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (cos.f64 eps) 6)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(exp.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.4b
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
✓0.5b
(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)
✓2.7b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 92 to 29 computations (68.5% saved)

series102.0ms (0.5%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
49.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
27.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
8.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
4.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
3.0ms
eps
@inf
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)

rewrite196.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016157
1357157
24706157
Stop Event
1×node limit
Counts
3 → 231
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
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simplify440.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
056335075
1173934251
2773934251
Stop Event
1×node limit
Counts
295 → 254
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.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))))))))))
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(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))) (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
(-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (neg.f64 (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 (pow.f64 eps 3) (+.f64 1/3 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (*.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (*.f64 eps eps)))))
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(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 1)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 1 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/6) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/6))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 2))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/3)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1/6) 2)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3)
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2))
(fabs.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1/3))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))

eval759.0ms (3.4%)

Compiler

Compiled 50744 to 19248 computations (62.1% saved)

prune663.0ms (3%)

Pruning

101 alts after pruning (93 fresh and 8 done)

PrunedKeptTotal
New1315311346
Fresh166278
Picked011
Done4711
Total13351011436
Error
0.0b
Counts
1436 → 101
Alt Table
Click to see full alt table
StatusErrorProgram
42.4b
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
19.7b
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
35.4b
(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)))
53.1b
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
44.9b
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
✓54.1b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
53.5b
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
53.1b
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
21.0b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3) 3)
35.9b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
55.4b
(pow.f64 (pow.f64 eps 1/3) 3)
31.4b
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
35.4b
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
53.0b
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
48.7b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
51.5b
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
20.4b
(pow.f64 (cbrt.f64 (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)))) 3)
32.0b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
20.4b
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
✓20.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
39.0b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
20.4b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
✓39.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
35.6b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
47.7b
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
31.9b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
21.6b
(pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
27.0b
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
48.3b
(pow.f64 (cbrt.f64 eps) 3)
20.1b
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
20.8b
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
55.6b
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
46.6b
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
✓31.4b
(/.f64 (sin.f64 eps) (cos.f64 eps))
31.5b
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
38.9b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
39.5b
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
24.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
19.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
38.6b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
19.8b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
19.7b
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
37.6b
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
44.4b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
19.7b
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
19.7b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
39.0b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓38.9b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
39.8b
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
40.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
20.6b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
26.6b
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
60.4b
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
50.4b
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
39.8b
(-.f64 (fabs.f64 (/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
50.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
✓50.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
55.3b
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
30.7b
(-.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))
50.3b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
22.8b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)) (tan.f64 x))
22.2b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
0.6b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 3))
0.4b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (cos.f64 eps))))
22.9b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
0.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
0.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 1))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
40.6b
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
59.1b
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
34.8b
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
✓51.5b
(+.f64 eps (*.f64 eps (*.f64 x x)))
48.8b
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
44.4b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
35.8b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) 3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
32.0b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
40.9b
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
31.5b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
34.8b
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
47.3b
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
31.5b
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
34.8b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
34.8b
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
39.4b
(tan.f64 (+.f64 x eps))
31.4b
(tan.f64 eps)
50.0b
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
46.6b
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
✓39.6b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
50.5b
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
32.1b
(log1p.f64 (expm1.f64 (tan.f64 eps)))
26.5b
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
44.4b
(log.f64 (exp.f64 (tan.f64 eps)))
51.3b
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
50.9b
(fabs.f64 (tan.f64 (+.f64 x eps)))
31.4b
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
37.3b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
42.8b
(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))))
49.3b
(exp.f64 (log.f64 (tan.f64 eps)))
22.7b
(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))
52.8b
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
39.2b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
48.0b
eps
Compiler

Compiled 1707 to 1117 computations (34.6% saved)

regimes391.0ms (1.8%)

Counts
153 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (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))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(-.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))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
(pow.f64 (cbrt.f64 (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)))) 3)
(-.f64 (fabs.f64 (/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3) 3)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (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 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) 3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 1))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (tan.f64 eps) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))) (tan.f64 x))) 3))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (tan.f64 x)) (cos.f64 eps))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cos.f64 eps)) (sin.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) 3))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (/.f64 (+.f64 (-.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) 1) (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 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 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
Outputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 1))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
Calls

3 calls:

119.0ms
eps
117.0ms
x
69.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2757 to 1123 computations (59.3% saved)

regimes237.0ms (1.1%)

Counts
141 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (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))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(-.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))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
(pow.f64 (cbrt.f64 (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)))) 3)
(-.f64 (fabs.f64 (/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3) 3)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (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 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) 3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (tan.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
Outputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
Calls

3 calls:

73.0ms
eps
67.0ms
x
47.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2107 to 845 computations (59.9% saved)

regimes634.0ms (2.9%)

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

3 calls:

335.0ms
eps
189.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
66.0ms
x
Results
ErrorSegmentsBranch
13.6b1x
0.3b3eps
10.0b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 2068 to 835 computations (59.6% saved)

bsearch123.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
83.0ms
1.1348048667978007e-18
16990.90550941668
38.0ms
-0.0035895090148004645
-8.214868613237054e-9
Results
57.0ms164×body256valid
38.0ms106×body1024valid
16.0ms44×body512valid
3.0ms6×body2048valid
Compiler

Compiled 1454 to 770 computations (47% saved)

regimes453.0ms (2%)

Counts
137 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (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))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(-.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))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
(pow.f64 (cbrt.f64 (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)))) 3)
(-.f64 (fabs.f64 (/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3) 3)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (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 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) 3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(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 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
Outputs
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (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)))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
Calls

3 calls:

202.0ms
eps
97.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
81.0ms
x
Results
ErrorSegmentsBranch
13.6b1x
0.4b3eps
12.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1959 to 797 computations (59.3% saved)

bsearch142.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
102.0ms
1.1348048667978007e-18
16990.90550941668
39.0ms
-0.0035895090148004645
-8.214868613237054e-9
Results
69.0ms91×body1024valid
45.0ms171×body256valid
12.0ms48×body512valid
8.0ms10×body2048valid
Compiler

Compiled 1334 to 790 computations (40.8% saved)

regimes655.0ms (3%)

Counts
134 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (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))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(-.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))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
(pow.f64 (cbrt.f64 (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)))) 3)
(-.f64 (fabs.f64 (/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3) 3)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (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 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (sin.f64 eps))))) (*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 2) 3) (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
Outputs
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
Calls

3 calls:

296.0ms
x
164.0ms
eps
153.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.8b5x
0.4b3eps
12.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1857 to 753 computations (59.5% saved)

bsearch75.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
1.1348048667978007e-18
16990.90550941668
25.0ms
-8.214868613237054e-9
-1.4456261346095196e-9
Results
30.0ms84×body1024valid
18.0ms134×body256valid
12.0ms15×body2048valid
10.0ms39×body512valid
Compiler

Compiled 779 to 469 computations (39.8% saved)

regimes616.0ms (2.8%)

Counts
127 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (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))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(-.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))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
(pow.f64 (cbrt.f64 (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)))) 3)
(-.f64 (fabs.f64 (/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3) 3)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (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 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (neg.f64 (tan.f64 x)))
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Outputs
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Calls

3 calls:

356.0ms
x
138.0ms
eps
84.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.8b5x
0.5b3eps
12.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1649 to 672 computations (59.2% saved)

bsearch72.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
1.1348048667978007e-18
16990.90550941668
24.0ms
-8.214868613237054e-9
-1.4456261346095196e-9
Results
35.0ms84×body1024valid
19.0ms145×body256valid
9.0ms37×body512valid
3.0ms6×body2048valid
Compiler

Compiled 752 to 470 computations (37.5% saved)

regimes449.0ms (2%)

Counts
117 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (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))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(-.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))
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))))) 3)
(pow.f64 (cbrt.f64 (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)))) 3)
(-.f64 (fabs.f64 (/.f64 (fabs.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fabs.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3) 3)
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
Outputs
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))
Calls

3 calls:

213.0ms
x
132.0ms
eps
73.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.8b5x
0.5b3eps
12.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1376 to 582 computations (57.7% saved)

bsearch77.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
49.0ms
1.1348048667978007e-18
16990.90550941668
27.0ms
-8.214868613237054e-9
-1.4456261346095196e-9
Results
33.0ms86×body1024valid
15.0ms114×body256valid
12.0ms22×body2048valid
12.0ms50×body512valid
Compiler

Compiled 796 to 503 computations (36.8% saved)

regimes394.0ms (1.8%)

Counts
109 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (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))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) 1) 3)
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(pow.f64 (cbrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 3)
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) 3) 3)
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(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 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.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 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(-.f64 (+.f64 (neg.f64 (tan.f64 x)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))) 3)
(-.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))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

182.0ms
x
117.0ms
eps
70.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.8b5x
0.5b3eps
12.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1201 to 507 computations (57.8% saved)

bsearch70.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
1.1348048667978007e-18
16990.90550941668
23.0ms
-8.214868613237054e-9
-1.4456261346095196e-9
Results
30.0ms90×body1024valid
17.0ms132×body256valid
13.0ms24×body2048valid
6.0ms26×body512valid
Compiler

Compiled 575 to 367 computations (36.2% saved)

regimes246.0ms (1.1%)

Counts
88 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (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)
(-.f64 (/.f64 1 (/.f64 1 (fabs.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 eps) -3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 3)
(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))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (tan.f64 x))
(-.f64 (fabs.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) 1/3)
(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 (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)
(-.f64 (fabs.f64 (tan.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 1/3) (tan.f64 x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) 2))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (fabs.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 eps x))))) (tan.f64 x))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 6)) 1/3)
(*.f64 eps (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 3)
(pow.f64 (fabs.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/3)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 3))))
(pow.f64 (pow.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 3))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (sqrt.f64 eps)) (sqrt.f64 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
Outputs
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(tan.f64 eps)
Calls

3 calls:

90.0ms
eps
88.0ms
x
50.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
20.6b3x
18.0b3eps
19.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 810 to 342 computations (57.8% saved)

bsearch69.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
41.0ms
1.1348048667978007e-18
16990.90550941668
27.0ms
-233.52034002673759
-1.4353719502761497
Results
31.0ms91×body1024valid
18.0ms143×body256valid
10.0ms42×body512valid
6.0ms12×body2048valid
Compiler

Compiled 398 to 290 computations (27.1% saved)

regimes104.0ms (0.5%)

Counts
35 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
Outputs
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps)
(tan.f64 eps)
Calls

3 calls:

38.0ms
eps
37.0ms
x
22.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
20.7b3x
18.0b3eps
19.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 244 to 113 computations (53.7% saved)

bsearch69.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
41.0ms
1.1348048667978007e-18
16990.90550941668
28.0ms
-233.52034002673759
-1.4353719502761497
Results
31.0ms91×body1024valid
19.0ms143×body256valid
10.0ms43×body512valid
6.0ms11×body2048valid
Compiler

Compiled 398 to 308 computations (22.6% saved)

regimes42.0ms (0.2%)

Counts
34 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(tan.f64 eps)
(tan.f64 (+.f64 x eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(/.f64 (*.f64 eps (-.f64 eps (*.f64 eps (pow.f64 x 4)))) (-.f64 eps (*.f64 eps (*.f64 x x))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (tan.f64 (+.f64 x eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 1/3) 3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(fabs.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
Outputs
(tan.f64 eps)
Calls

3 calls:

14.0ms
eps
14.0ms
x
8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
31.4b1x
31.4b1eps
31.4b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 233 to 108 computations (53.6% saved)

regimes6.0ms (0%)

Accuracy

Total -3.5b remaining (-7.3%)

Threshold costs -3.5b (-7.3%)

Counts
2 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
Outputs
eps
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
48.0b1x
48.0b1eps
Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify34.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
92×+-commutative
74×*-commutative
50×sub-neg
42×neg-sub0
40×neg-mul-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01311502
12041502
22551494
33071494
43481494
53661494
63731494
73741494
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 1))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(if (<=.f64 eps -4242751136953197/36893488147419103232) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (if (<=.f64 eps 1936908127739503/18446744073709551616) (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))))
(if (<=.f64 eps -1770887431076117/2361183241434822606848) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (if (<=.f64 eps 7366891713276647/37778931862957161709568) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))))
(if (<=.f64 eps -2115620184325601/604462909807314587353088) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (if (<=.f64 eps 2780529385113647/1208925819614629174706176) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))))
(if (<=.f64 eps -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 3264099712959499/1208925819614629174706176) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 1450710983537555/302231454903657293676544) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))))
(if (<=.f64 eps -4835703278458517/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 4352132950612665/1208925819614629174706176) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6530219459687219/4503599627370496) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 61796592646927/18446744073709551616) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (tan.f64 eps)))
(if (<=.f64 eps -6530219459687219/4503599627370496) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 700976274800963/9223372036854775808) (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (tan.f64 eps)))
(tan.f64 eps)
eps
Outputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (-.f64 (+.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) 1))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (+.f64 (+.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps)))) -1))) (*.f64 (tan.f64 x) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (-.f64 1 (+.f64 1 (*.f64 (sin.f64 eps) (/.f64 (tan.f64 x) (cos.f64 eps))))))) (*.f64 (tan.f64 x) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps))))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x)))
(+.f64 (*.f64 (tan.f64 x) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps))))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x))))))
(if (<=.f64 eps -4242751136953197/36893488147419103232) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (if (<=.f64 eps 1936908127739503/18446744073709551616) (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (*.f64 (/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))))
(if (or (<=.f64 eps -4242751136953197/36893488147419103232) (not (<=.f64 eps 1936908127739503/18446744073709551616))) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (+.f64 (*.f64 (tan.f64 x) (/.f64 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps))))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))))
(if (<=.f64 eps -1770887431076117/2361183241434822606848) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (if (<=.f64 eps 7366891713276647/37778931862957161709568) (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 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))))
(if (or (<=.f64 eps -1770887431076117/2361183241434822606848) (not (<=.f64 eps 7366891713276647/37778931862957161709568))) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (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))))
(if (<=.f64 eps -2115620184325601/604462909807314587353088) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (if (<=.f64 eps 2780529385113647/1208925819614629174706176) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))))
(if (or (<=.f64 eps -2115620184325601/604462909807314587353088) (not (<=.f64 eps 2780529385113647/1208925819614629174706176))) (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x)) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(if (<=.f64 eps -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 3264099712959499/1208925819614629174706176) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (*.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))))
(if (<=.f64 eps -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (tan.f64 x)) (if (<=.f64 eps 3264099712959499/1208925819614629174706176) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 x))))
(if (<=.f64 eps -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (tan.f64 x)) (if (<=.f64 eps 3264099712959499/1208925819614629174706176) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 x))))
(if (<=.f64 eps -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 1 (-.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 3264099712959499/1208925819614629174706176) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 x))))
(if (<=.f64 eps -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 1 (+.f64 (/.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)))))) (tan.f64 x)) (if (<=.f64 eps 3264099712959499/1208925819614629174706176) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 x))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 1450710983537555/302231454903657293676544) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (/.f64 1 (+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (tan.f64 x))))
(if (or (<=.f64 eps -7495340081610701/2417851639229258349412352) (not (<=.f64 eps 1450710983537555/302231454903657293676544))) (-.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (tan.f64 x)) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(if (or (<=.f64 eps -7495340081610701/2417851639229258349412352) (not (<=.f64 eps 1450710983537555/302231454903657293676544))) (-.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (tan.f64 x)) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(if (or (<=.f64 eps -7495340081610701/2417851639229258349412352) (not (<=.f64 eps 1450710983537555/302231454903657293676544))) (-.f64 (/.f64 1 (-.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(if (or (<=.f64 eps -7495340081610701/2417851639229258349412352) (not (<=.f64 eps 1450710983537555/302231454903657293676544))) (-.f64 (/.f64 1 (+.f64 (/.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)))))) (tan.f64 x)) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(if (<=.f64 eps -4835703278458517/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 4352132950612665/1208925819614629174706176) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (or (<=.f64 eps -4835703278458517/1208925819614629174706176) (not (<=.f64 eps 4352132950612665/1208925819614629174706176))) (-.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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(if (<=.f64 eps -6530219459687219/4503599627370496) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 61796592646927/18446744073709551616) (+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (tan.f64 eps)))
(if (<=.f64 eps -6530219459687219/4503599627370496) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 61796592646927/18446744073709551616) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (tan.f64 eps)))
(if (<=.f64 eps -6530219459687219/4503599627370496) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 700976274800963/9223372036854775808) (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) eps) (tan.f64 eps)))
(if (<=.f64 eps -6530219459687219/4503599627370496) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 700976274800963/9223372036854775808) (*.f64 eps (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (tan.f64 eps)))
(tan.f64 eps)
eps
Compiler

Compiled 511 to 290 computations (43.2% saved)

soundness216.0ms (1%)

Algorithm
3×egg-herbie
Rules
1348×associate-*r*
1190×associate-*l*
1180×associate-*l*
1166×associate-*r*
1052×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054613904
1157013404
2730513404
086628453
1280927793
074618622
1229218124
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1089 to 301 computations (72.4% saved)

end135.0ms (0.6%)

Compiler

Compiled 489 to 207 computations (57.7% saved)

Profiling

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