Details

Time bar (total: 20.9s)

analyze355.0ms (1.7%)

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

Compiled 10 to 7 computations (30% saved)

sample3.8s (18%)

Results
1.9s3622×body1024valid
1.1s1273×body2048valid
445.0ms1402×body512valid
354.0ms1959×body256valid
Bogosity

preprocess17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify18.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
36.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize43.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(tan.f64 x)
✓2.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓3.8b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series12.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite110.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0937
120737
2299737
Stop Event
1×node limit
Counts
3 → 199
Calls
Call 1
Inputs
(tan.f64 (+.f64 x eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 x)
Outputs
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simplify108.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

eval118.0ms (0.6%)

Compiler

Compiled 9844 to 3811 computations (61.3% saved)

prune103.0ms (0.5%)

Pruning

49 alts after pruning (48 fresh and 1 done)

PrunedKeptTotal
New29348341
Fresh000
Picked011
Done000
Total29349342
Error
0.1b
Counts
342 → 49
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
(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))))))
49.2b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
37.0b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
23.2b
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
▶36.5b
(/.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))
23.1b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
37.3b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
24.3b
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
26.7b
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
24.3b
(-.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))
▶22.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
22.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
43.5b
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
43.6b
(-.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))
61.1b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
37.4b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
36.5b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
22.9b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
36.7b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
47.7b
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
38.4b
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
38.2b
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
✓36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
37.8b
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
37.0b
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
47.8b
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
▶37.1b
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
▶37.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
36.8b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
44.0b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
46.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
40.6b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
48.7b
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
39.3b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
27.6b
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
44.4b
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
30.8b
(+.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))))))))))))
30.7b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
30.7b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
40.5b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
▶47.9b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
39.4b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
Compiler

Compiled 1781 to 1152 computations (35.3% saved)

localize38.0ms (0.2%)

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))
✓0.2b
(pow.f64 (tan.f64 x) 2)
✓4.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
Compiler

Compiled 126 to 54 computations (57.1% saved)

series27.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

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

rewrite144.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1784×associate-/r/
446×add-sqr-sqrt
438×*-un-lft-identity
436×pow1
412×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019152
1427132
26210132
Stop Event
1×node limit
Counts
4 → 137
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
(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
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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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))))

simplify170.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1062×associate-+r+
1042×associate-+l+
946×+-commutative
666×associate-*r*
648×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052019791
1148619139
2679119139
Stop Event
1×node limit
Counts
221 → 277
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -2/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))) (pow.f64 eps 4)) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 1 (/.f64 (+.f64 (pow.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)))) 2) (*.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))) (tan.f64 x)))) (-.f64 (pow.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)))) 3) (pow.f64 (tan.f64 x) 3))))
(/.f64 (-.f64 (pow.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)))) 2) (pow.f64 (tan.f64 x) 2)) (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))) (tan.f64 x)))
(/.f64 (-.f64 (pow.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)))) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.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)))) 2) (*.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))) (tan.f64 x)))))
(/.f64 (-.f64 (pow.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)))) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.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)))) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.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)))) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) (+.f64 (pow.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)))) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.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)))) (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 (neg.f64 (tan.f64 eps)) (tan.f64 x)) (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 (neg.f64 (-.f64 (pow.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)))) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (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))) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.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)))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.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)))) 2) (*.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))) (tan.f64 x))))))
(pow.f64 (-.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)) 1)
(pow.f64 (sqrt.f64 (-.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))) 2)
(pow.f64 (cbrt.f64 (-.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))) 3)
(pow.f64 (pow.f64 (-.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)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.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)) 2))
(log.f64 (exp.f64 (-.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))))
(log.f64 (+.f64 1 (expm1.f64 (-.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)))))
(cbrt.f64 (pow.f64 (-.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)) 3))
(expm1.f64 (log1p.f64 (-.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))))
(exp.f64 (log.f64 (-.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))))
(exp.f64 (*.f64 (log.f64 (-.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))) 1))
(log1p.f64 (expm1.f64 (-.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))))
(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 1 (*.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 (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))))) (sqrt.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))))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.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))))) 2) (cbrt.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))))) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x)))
(-.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 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(*.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (tan.f64 x) 2)))
(*.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (tan.f64 x) 2)))
(*.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))
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(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)
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(/.f64 (*.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(*.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 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))
(*.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)
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(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)
(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
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(+.f64 (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) -1)
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(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)
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(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)

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓2.7b
(-.f64 (tan.f64 (+.f64 x eps)) x)
3.8b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite66.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118517
2268517
Stop Event
1×node limit
Counts
1 → 99
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) x)
Outputs
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simplify107.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.4b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
2.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.8b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series138.0ms (0.7%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
62.0ms
eps
@-inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
36.0ms
x
@inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
20.0ms
x
@-inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
14.0ms
eps
@inf
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
2.0ms
eps
@0
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))

rewrite93.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify211.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
057915483
1166114943
2766714943
Stop Event
1×node limit
Counts
215 → 306
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (sin.f64 x)) (cos.f64 x)) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))))) (pow.f64 eps 4))) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 2))) (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))))
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(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(log.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (log.f64 eps) (log.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
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(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(+.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 0)
(+.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 0 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) 1)
(*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(*.f64 1 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (*.f64 x x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (neg.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3) (*.f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))
(+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (+.f64 (-.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6))))
(-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/6) (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.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 (*.f64 1/6 (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) (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 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 1 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) (sqrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) (cbrt.f64 (tan.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 0)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 0 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (log.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (log.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (log.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 1 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 2)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3) 1/3)
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) 2))
(fabs.f64 (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (log.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
(log1p.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 1 (tan.f64 x))))
(log1p.f64 (-.f64 (-.f64 (tan.f64 (+.f64 eps x)) 1) (tan.f64 x)))
(log1p.f64 (+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (tan.f64 x) 3)
✓2.3b
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
3.8b
(tan.f64 (+.f64 x eps))
✓19.2b
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite103.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1594×associate-*r/
1326×associate-*l/
796×distribute-lft-in
340×associate-/r*
272×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
127537
2349937
Stop Event
1×node limit
Counts
3 → 216
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(pow.f64 (tan.f64 x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 x) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 x)))))))
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3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) 1) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3) 1) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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((x /.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 3)))))))

simplify105.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1082×associate-/l*
968×associate-*r*
794×associate-*l*
624×fma-def
548×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062012322
1166111794
Stop Event
1×node limit
Counts
264 → 320
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (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)))
(pow.f64 x 3)
(+.f64 (pow.f64 x 5) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (+.f64 (*.f64 88/189 (pow.f64 x 9)) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 1 1/3) (tan.f64 x))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 x) 3/2) 1/3))
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (pow.f64 (tan.f64 x) 2) 1/3)) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2) (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 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) 1) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(/.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 x) (tan.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) 1) (-.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (tan.f64 x)) 3)) 1) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) 1) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 1) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) 1) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) 3) (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (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)) (pow.f64 (tan.f64 x) 6)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))))) (+.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (+.f64 (pow.f64 (tan.f64 x) 6) (*.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 x) (tan.f64 (+.f64 x eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(/.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 x) (tan.f64 (+.f64 x eps))))))
(/.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 x) (tan.f64 (+.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.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 x) (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (*.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 (pow.f64 (tan.f64 x) 3))) 1)
(*.f64 (pow.f64 (tan.f64 x) 3) 1)
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))
(*.f64 1 (pow.f64 (tan.f64 x) 3))
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (pow.f64 (tan.f64 x) 3/2) (pow.f64 (tan.f64 x) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (pow.f64 (tan.f64 x) 2) (tan.f64 x))
(*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) (tan.f64 x))
(*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 3) (pow.f64 (sqrt.f64 (tan.f64 x)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3) (tan.f64 x))
(/.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (tan.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 (tan.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))
(/.f64 (*.f64 (tan.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x))) (cos.f64 x))
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2))) (cos.f64 x))
(/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3))
(/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) 1) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) 1) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3) 1) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 3) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) 1) (cos.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) 1) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) 1) (pow.f64 (cos.f64 x) 3))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (tan.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (tan.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) 1) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) 1) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 3)))
Outputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (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 x (pow.f64 (sin.f64 eps) 2)) (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 (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 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))))
(+.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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (*.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 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (*.f64 (tan.f64 x) (pow.f64 (sqrt.f64 (tan.f64 x)) 3)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (tan.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (tan.f64 x))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (tan.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) 1) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (sin.f64 x)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) 1) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) 2))
(sqrt.f64 (pow.f64 (tan.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 x) 3)))
(pow.f64 (tan.f64 x) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 3))))
(pow.f64 (tan.f64 x) 3)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3))
(pow.f64 (tan.f64 x) 3)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 3)))
(pow.f64 (tan.f64 x) 3)
(exp.f64 (*.f64 3 (log.f64 (tan.f64 x))))
(pow.f64 (tan.f64 x) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 x))) 1))
(pow.f64 (tan.f64 x) 3)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 3)))
(pow.f64 (tan.f64 x) 3)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))
✓2.4b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
✓3.6b
(sin.f64 (+.f64 x eps))
✓3.7b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 91 to 12 computations (86.8% saved)

series10.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite124.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1444×associate-*r/
1122×associate-*l/
492×associate-+l+
338×+-commutative
330×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01390
129790
2429366
Stop Event
1×node limit
Counts
4 → 272
Calls
Call 1
Inputs
(cos.f64 (+.f64 x eps))
(sin.f64 (+.f64 x eps))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps)))
Outputs
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x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)))) (#(struct:change 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simplify166.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1550×fma-def
1048×associate-*r*
934×associate-*l*
832×+-commutative
632×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079024032
1219719860
Stop Event
1×node limit
Counts
368 → 451
Calls
Call 1
Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 2) 3)) (/.f64 1 (sin.f64 (+.f64 x (+.f64 x eps))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 2) (*.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x (+.f64 x eps))))))) (+.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 2) (*.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x (+.f64 x eps))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3)))))
(pow.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps)))) 1)
(pow.f64 (sqrt.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))) 2)
(pow.f64 (cbrt.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))) 3)
(pow.f64 (pow.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps)))) 2))
(log.f64 (exp.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps)))))))
(cbrt.f64 (pow.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps)))) 3))
(expm1.f64 (log1p.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))))
(exp.f64 (log.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))))
(exp.f64 (*.f64 (log.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))) 1))
(log1p.f64 (expm1.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))))
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(fma.f64 1 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(fma.f64 1 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps)))) (fma.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (sqrt.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))) (sqrt.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))) (fma.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))) 2) (cbrt.f64 (-.f64 0 (sin.f64 (-.f64 x (+.f64 x eps))))) (fma.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))))
(/.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))) 2)
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))) -2)
(/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))))) -2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))))) (cbrt.f64 2))
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))) 1) 2)
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (sin.f64 x)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))) 1) -2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))) (sqrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))) (*.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps))))) 1/2) (-.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 x (+.f64 x eps))) 3) (pow.f64 (sin.f64 (+.f64 x (+.f64 x eps))) 3)) 1/2) (-.f64 (+.f64 (*.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))) (*.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps))))) (*.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps))))))
(pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (*.f64 x (*.f64 (cos.f64 eps) x))) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 -1/2 (*.f64 x (*.f64 (cos.f64 eps) x)))) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (fma.f64 (*.f64 (pow.f64 eps 3) -1/6) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (sin.f64 eps)) (*.f64 1/12 (sin.f64 eps))) (*.f64 1/3 (sin.f64 eps))) (pow.f64 x 4)) (sin.f64 eps))
(fma.f64 (+.f64 (*.f64 (sin.f64 eps) 1/3) (*.f64 -1/3 (sin.f64 eps))) (pow.f64 x 4) (sin.f64 eps))
(fma.f64 (pow.f64 x 4) 0 (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/360 (sin.f64 eps)) (*.f64 -1/24 (sin.f64 eps))) (+.f64 (*.f64 -1/36 (sin.f64 eps)) (*.f64 -1/60 (sin.f64 eps)))) (pow.f64 x 6)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (sin.f64 eps)) (*.f64 1/12 (sin.f64 eps))) (*.f64 1/3 (sin.f64 eps))) (pow.f64 x 4)) (sin.f64 eps)))
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(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))))) -2)
(*.f64 1/2 (+.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))))
(*.f64 (+.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x)))) 1/2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) 2) (cbrt.f64 2)) (cbrt.f64 (+.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x))))))
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))) 1) 2)
(*.f64 1/2 (+.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))))
(*.f64 (+.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x)))) 1/2)
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 eps) (sin.f64 eps))))))
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (pow.f64 (sin.f64 x) 2)))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (sin.f64 x)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))) 1) -2)
(*.f64 1/2 (+.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))))
(*.f64 (+.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x)))) 1/2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))) (sqrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) 2) (cbrt.f64 2)) (cbrt.f64 (+.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))) (*.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps))))) 1/2) (-.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (-.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (+.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x))))) (/.f64 (-.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x)))) 1/2))
(*.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 (sin.f64 (neg.f64 eps))) 2) (*.f64 (sin.f64 (+.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x))))) (-.f64 (sin.f64 (neg.f64 eps)) (sin.f64 (+.f64 x (+.f64 eps x))))) 1/2)
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 x (+.f64 x eps))) 3) (pow.f64 (sin.f64 (+.f64 x (+.f64 x eps))) 3)) 1/2) (-.f64 (+.f64 (*.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (-.f64 x (+.f64 x eps)))) (*.f64 (sin.f64 (+.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps))))) (*.f64 (sin.f64 (-.f64 x (+.f64 x eps))) (sin.f64 (+.f64 x (+.f64 x eps))))))
(/.f64 (*.f64 1/2 (+.f64 (pow.f64 (sin.f64 (-.f64 x (+.f64 eps x))) 3) (pow.f64 (sin.f64 (+.f64 x (+.f64 eps x))) 3))) (-.f64 (fma.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (-.f64 x (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x))))) (*.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (sin.f64 (+.f64 x (+.f64 eps x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 eps)) 3) (pow.f64 (sin.f64 (+.f64 x (+.f64 eps x))) 3)) (+.f64 (pow.f64 (neg.f64 (sin.f64 (neg.f64 eps))) 2) (*.f64 (sin.f64 (+.f64 x (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 x (+.f64 eps x))) (sin.f64 (neg.f64 eps)))))) 1/2)
(pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 (+.f64 x eps))))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))

eval984.0ms (4.7%)

Compiler

Compiled 75449 to 26514 computations (64.9% saved)

prune1.1s (5.3%)

Pruning

59 alts after pruning (55 fresh and 4 done)

PrunedKeptTotal
New2078362114
Fresh241943
Picked101
Done145
Total2104592163
Error
0.0b
Counts
2163 → 59
Alt Table
Click to see full alt table
StatusErrorProgram
22.9b
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (neg.f64 (tan.f64 x)))
30.8b
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
22.9b
(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)))
30.7b
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))
23.6b
(pow.f64 (cbrt.f64 (-.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))) 3)
37.0b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
48.0b
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
23.2b
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
▶36.8b
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶13.3b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
37.1b
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶23.1b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
23.1b
(/.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x))) (/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))
24.9b
(/.f64 (sin.f64 eps) (cos.f64 eps))
37.9b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
37.3b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
24.3b
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
26.7b
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
✓22.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
22.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (-.f64 1 (sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 4))) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (tan.f64 x))
22.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
23.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
37.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
22.9b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (tan.f64 x))
43.5b
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
43.6b
(-.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))
37.4b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
37.9b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
22.9b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
23.6b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
36.7b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
✓36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
✓37.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
38.2b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
46.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
46.7b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
23.4b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 x)))
30.8b
(+.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)))))))
22.9b
(+.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)))) (neg.f64 (tan.f64 x)))
30.7b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
30.7b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶61.7b
(neg.f64 x)
23.6b
(log1p.f64 (expm1.f64 (-.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))))
48.0b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
31.2b
(expm1.f64 (log1p.f64 (-.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))))
49.1b
(exp.f64 (+.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (log.f64 eps) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))))
45.8b
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
44.1b
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
41.7b
(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))))
41.6b
(exp.f64 (log.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))))
✓47.9b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.6b
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
25.9b
(cbrt.f64 (pow.f64 (-.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)) 3))
Compiler

Compiled 2504 to 1537 computations (38.6% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
✓0.2b
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps)))
3.7b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 43 to 10 computations (76.7% saved)

series16.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
eps
@inf
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
1.0ms
x
@inf
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps)))
1.0ms
eps
@-inf
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
1.0ms
eps
@0
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
1.0ms
x
@-inf
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))

rewrite80.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
778×associate-/r/
772×associate-/l/
642×distribute-rgt-in
614×distribute-lft-in
312×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01368
129152
2438052
Stop Event
1×node limit
Counts
2 → 130
Calls
Call 1
Inputs
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) 0) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 0) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change 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#<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))))) 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(cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (cos.f64 (+.f64 eps x)))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 (+.f64 eps x)))))))) (#(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 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 (+.f64 eps x))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 eps x)) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))))
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simplify154.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
970×associate-/r/
892×associate-+r+
726×associate-+l+
644×associate-*r*
554×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04388642
112547344
253917344
Stop Event
1×node limit
Counts
178 → 221
Calls
Call 1
Inputs
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (+.f64 (-.f64 x x) eps)))) 2)
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 eps))) (/.f64 1 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2))) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (cos.f64 x)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 -1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) 1) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x)))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) -1)) (sin.f64 eps))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
Outputs
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))))
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps))))
(+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
(+.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 eps 3)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))))
(+.f64 (/.f64 eps (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 eps 3)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))) (*.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) -1/6))))))
(+.f64 (fma.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (*.f64 (sin.f64 x) -1/6) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (/.f64 eps (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 eps 3)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))))
(+.f64 (fma.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (*.f64 (sin.f64 x) -1/6) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (/.f64 eps (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 eps 3)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 eps eps))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x (sin.f64 eps)))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))
(-.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 eps)) (/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3)) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2)) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x (sin.f64 eps)))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))))
(-.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) -1/2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) -1/2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))))) (+.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))))
(fma.f64 (fma.f64 1/6 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (fma.f64 -1/2 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (/.f64 (fma.f64 -1 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3)) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (pow.f64 x 3) (fma.f64 (fma.f64 -1 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3)) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2)) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x (sin.f64 eps)))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))))
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(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) 1) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x)))) (sin.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) -1)) (sin.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 x))) (fma.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 eps)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 x))) (fma.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 eps)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))))))
(pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 2)
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) 2))
(fabs.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3) (pow.f64 (cos.f64 x) 3)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 1))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
✓0.1b
(/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps)))
3.7b
(cos.f64 (+.f64 x eps))
✓4.2b
(-.f64 x (+.f64 eps x))
Compiler

Compiled 61 to 11 computations (82% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite120.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
938×associate-/r/
926×associate-/l/
426×associate-+l+
348×add-sqr-sqrt
342×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01497
133489
2506489
Stop Event
1×node limit
Counts
3 → 265
Calls
Call 1
Inputs
(-.f64 x (+.f64 eps x))
(/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (+.f64 x eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (+.f64 x eps)) 1 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (neg.f64 (+.f64 x eps)) 1) (fma.f64 (neg.f64 (+.f64 x eps)) 1 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (neg.f64 (+.f64 x eps)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))))

simplify165.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
966×associate-*r*
918×associate-*l*
748×*-commutative
714×+-commutative
678×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078115233
1241014275
Stop Event
1×node limit
Counts
337 → 465
Calls
Call 1
Inputs
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 eps)
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (sin.f64 eps)) (*.f64 1/6 (sin.f64 eps))) (sin.f64 (neg.f64 eps))) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 -1 x))))))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 3)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 3)) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 3)) (+.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 3))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4))))) (cos.f64 x))))) (pow.f64 eps 4)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 4)))))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 -1 eps))))))
(+.f64 x (neg.f64 (+.f64 x eps)))
(+.f64 x (*.f64 (neg.f64 (+.f64 x eps)) 1))
(+.f64 x (+.f64 (neg.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (+.f64 x eps)) 1 (+.f64 x eps))))
(+.f64 x (+.f64 (*.f64 (neg.f64 (+.f64 x eps)) 1) (fma.f64 (neg.f64 (+.f64 x eps)) 1 (+.f64 x eps))))
(+.f64 x (+.f64 (neg.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (+.f64 x eps))))
(+.f64 x (+.f64 (*.f64 (neg.f64 (+.f64 x eps)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (+.f64 x eps))))
(+.f64 x (+.f64 (neg.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (+.f64 x eps))))
(+.f64 x (+.f64 (*.f64 (neg.f64 (+.f64 x eps)) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (+.f64 x eps))))
(+.f64 x (+.f64 (*.f64 -1 eps) (neg.f64 x)))
(+.f64 x (+.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) (neg.f64 x)))
(+.f64 x (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)) (neg.f64 x)))
(+.f64 x (+.f64 (neg.f64 eps) (*.f64 -1 x)))
(+.f64 x (+.f64 (*.f64 -1 eps) (*.f64 -1 x)))
(+.f64 x (+.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) (*.f64 -1 x)))
(+.f64 x (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)) (*.f64 -1 x)))
(+.f64 x (+.f64 (neg.f64 eps) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 x (+.f64 (*.f64 -1 eps) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 x (+.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 x (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 x (+.f64 (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
(+.f64 x (+.f64 (*.f64 -1 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
(+.f64 x (+.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
(+.f64 x (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))
(+.f64 x (-.f64 (neg.f64 eps) x))
(+.f64 x (-.f64 (*.f64 -1 eps) x))
(+.f64 x (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) x))
(+.f64 x (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)) x))
(+.f64 (-.f64 (-.f64 x x) eps) (fma.f64 (neg.f64 (+.f64 x eps)) 1 (+.f64 x eps)))
(+.f64 (-.f64 (-.f64 x x) eps) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)))
(+.f64 (-.f64 (-.f64 x x) eps) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (+.f64 x eps)))
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(pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x x) eps)))) -1)
(neg.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps))) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
Outputs
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 eps)
(neg.f64 eps)
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))
(*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 3)) (/.f64 (*.f64 -1/2 (neg.f64 (sin.f64 eps))) (cos.f64 eps))) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 3) (neg.f64 (sin.f64 eps)))) (/.f64 -1/2 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (sin.f64 eps))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))))
(fma.f64 (fma.f64 1/6 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 3)) (/.f64 (*.f64 -1/2 (neg.f64 (sin.f64 eps))) (cos.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (pow.f64 x 3) (fma.f64 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 3)) (/.f64 (*.f64 -1/2 (neg.f64 (sin.f64 eps))) (cos.f64 eps))) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 3) (neg.f64 (sin.f64 eps)))) (/.f64 -1/2 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))))) (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps)) -1/3)) (pow.f64 x 3) (fma.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 3) (neg.f64 (sin.f64 eps)))) (/.f64 -1/2 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (sin.f64 eps)))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 eps (neg.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 eps (neg.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 eps (neg.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 eps (neg.f64 x)))))
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))))
(+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (/.f64 (*.f64 -1/6 (sin.f64 x)) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 x)))) (*.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (sin.f64 x) -1/6) (pow.f64 (cos.f64 x) 2))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 x (neg.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 x (neg.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 x (neg.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (-.f64 x (neg.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))
(*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2)) (fma.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps))) (pow.f64 (cos.f64 eps) 3)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) (*.f64 x x) (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))))
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(*.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (-.f64 (-.f64 x x) eps)))) 2)
(*.f64 2 (/.f64 (neg.f64 (sin.f64 eps)) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps)))))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps)))))) (sqrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps)))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps)))) 2))) (cbrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps)))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps)))) 2) (cos.f64 x)) (cbrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps)))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))) 2) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) 2) (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) 2) (cos.f64 x)))
(*.f64 (/.f64 -1 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sin.f64 (-.f64 (-.f64 x x) eps)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 x eps))) (sin.f64 (-.f64 (-.f64 x x) eps)))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) 1) (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 1 (*.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))))
(/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cos.f64 x))))
(/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (/.f64 (neg.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 (+.f64 eps x))))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 x eps)))) (sin.f64 (-.f64 (-.f64 x x) eps)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 x eps)) 1)) (sin.f64 (-.f64 (-.f64 x x) eps)))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 x eps)) (sqrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))))) (sqrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (cos.f64 (+.f64 eps x))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))) 2))) (cbrt.f64 (sin.f64 (-.f64 (-.f64 x x) eps))))
(*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) 2)))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) 2))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (cos.f64 (+.f64 x eps)) -1)) (sin.f64 (-.f64 (-.f64 x x) eps)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (/.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))) (/.f64 (*.f64 (/.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 eps))) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2)))))
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))) (/.f64 1 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))))
(*.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (/.f64 1 (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 eps))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (neg.f64 (sin.f64 eps)))))
(*.f64 (/.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))) (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))) (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))))
(pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3) 1/3)
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x x) eps)))) -1)
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(neg.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 x eps))) 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 0 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
✓0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓4.0b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Compiler

Compiled 68 to 24 computations (64.7% saved)

series22.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite158.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
014122
1320122
24606122
Stop Event
1×node limit
Counts
4 → 344
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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simplify238.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1234×associate-/l/
1064×associate-*r*
862×associate-/r*
818×associate-*l*
756×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101335102
1276934744
Stop Event
1×node limit
Counts
440 → 600
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (*.f64 -1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 x)))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) 1) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) 1) (-.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) -1) (-.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) -1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (/.f64 (+.f64 (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 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.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))))))
(fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 x x) (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 x x) (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) -1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(/.f64 (/.f64 (neg.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))))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) -1) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (*.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (cbrt.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
✓0.2b
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓8.9b
(-.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)))
Compiler

Compiled 107 to 30 computations (72% saved)

series16.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite447.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1342×associate-/r/
560×associate-+l+
428×add-sqr-sqrt
424×pow1
424×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018183
1402183
26014175
Stop Event
1×node limit
Counts
3 → 258
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (+.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (fma.f64 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simplify247.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
934×associate-*r*
870×associate-+l+
834×associate-+r+
796×associate-/l*
792×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077641674
1232141606
Stop Event
1×node limit
Counts
330 → 426
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/18 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/15 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 6)) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps)
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(+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))))))
(+.f64 (*.f64 (-.f64 (cos.f64 x) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) eps) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 7) (-.f64 (*.f64 17/315 (cos.f64 x)) (*.f64 -17/315 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (pow.f64 eps 5) (-.f64 (*.f64 2/15 (cos.f64 x)) (*.f64 -2/15 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 2/15 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (sin.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
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(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) 3) (pow.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) 3)) (/.f64 1 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) 2) 3) (pow.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) (fma.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 (pow.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) 2) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))))))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) 1) (/.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) 1) (/.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.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))))) (cos.f64 x)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(*.f64 (/.f64 (/.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))))) 1) (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.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))))) 1) (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.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))))) 1) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.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))))) 1) (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (cos.f64 x))) (+.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(pow.f64 (/.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))))) 1)
(pow.f64 (sqrt.f64 (/.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)))))) 2)
(pow.f64 (cbrt.f64 (/.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)))))) 3)
(pow.f64 (pow.f64 (/.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))))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)
(neg.f64 (/.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))))))
(sqrt.f64 (pow.f64 (/.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))))) 2))
(log.f64 (exp.f64 (/.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)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.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))))))))
(cbrt.f64 (pow.f64 (/.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))))) 3))
(cbrt.f64 (/.f64 (pow.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))))) 3) (pow.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)))
(expm1.f64 (log1p.f64 (/.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)))))))
(exp.f64 (log.f64 (/.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)))))))
(exp.f64 (*.f64 (log.f64 (/.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)))))) 1))
(log1p.f64 (expm1.f64 (/.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)))))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/24) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/6)) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/720 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 1/18 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/120 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -2/15 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 6)) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 (/.f64 (*.f64 -1/720 (sin.f64 eps)) (cos.f64 eps)) (fma.f64 1/18 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -17/120))) (pow.f64 x 6) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/24) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/6)) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/720) (fma.f64 1/18 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -17/120))) (pow.f64 x 6) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/24) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/6)) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
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(pow.f64 (sqrt.f64 (/.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)))))) 2)
(/.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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.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)))))) 3)
(/.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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(pow.f64 (pow.f64 (/.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))))) 3) 1/3)
(/.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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (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 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) -1)
(/.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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(neg.f64 (/.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))))))
(neg.f64 (*.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (/.f64 1 (cos.f64 x)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(neg.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.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))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) 2))
(log.f64 (exp.f64 (/.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 (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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.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 (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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (/.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))))) 3))
(/.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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(cbrt.f64 (/.f64 (pow.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))))) 3) (pow.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)))
(/.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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(expm1.f64 (log1p.f64 (/.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 (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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(exp.f64 (log.f64 (/.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 (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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.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)))))) 1))
(/.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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(log1p.f64 (expm1.f64 (/.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 (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 (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))

eval1.0s (5%)

Compiler

Compiled 78824 to 26928 computations (65.8% saved)

prune1.0s (4.9%)

Pruning

68 alts after pruning (61 fresh and 7 done)

PrunedKeptTotal
New2030462076
Fresh351550
Picked011
Done268
Total2067682135
Error
0b
Counts
2135 → 68
Alt Table
Click to see full alt table
StatusErrorProgram
22.9b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
13.4b
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
14.1b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
48.0b
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
61.1b
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
47.7b
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
✓36.8b
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
59.5b
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
36.5b
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶0.4b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
31.2b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
13.8b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
30.1b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
0.4b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
▶29.6b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
28.3b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
26.9b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
30.7b
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
✓23.1b
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
61.1b
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
30.3b
(/.f64 (*.f64 eps (-.f64 (cos.f64 x) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
13.1b
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
61.5b
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
13.2b
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
24.9b
(/.f64 (sin.f64 eps) (cos.f64 eps))
61.1b
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
43.0b
(/.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
17.4b
(/.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
30.7b
(/.f64 eps (pow.f64 (cos.f64 x) 2))
▶23.0b
(/.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))))
37.9b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
37.3b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
23.1b
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.9b
(-.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
22.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
37.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
37.4b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
23.1b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶37.9b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
23.0b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
✓36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
✓37.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
23.7b
(-.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))
46.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
12.3b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
30.7b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
0.5b
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
13.3b
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
38.6b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (sin.f64 eps)))
61.1b
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
13.3b
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
▶61.1b
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
61.1b
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
13.4b
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
✓61.7b
(neg.f64 x)
23.7b
(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))))
30.4b
(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))))
48.0b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
31.2b
(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))))
✓47.9b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
47.6b
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
Compiler

Compiled 2213 to 1430 computations (35.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
✓0.1b
(*.f64 (sin.f64 x) (sin.f64 eps))
✓0.2b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
✓0.2b
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
Compiler

Compiled 78 to 14 computations (82.1% saved)

series23.0ms (0.1%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
8.0ms
eps
@0
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
1.0ms
eps
@inf
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
1.0ms
x
@inf
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
1.0ms
eps
@-inf
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
1.0ms
x
@-inf
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))

rewrite95.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
718×associate-/l/
598×associate-/r/
570×distribute-lft-in
400×add-sqr-sqrt
394×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018166
138478
2553078
Stop Event
1×node limit
Counts
4 → 216
Calls
Call 1
Inputs
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) 0) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 0 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) 0) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (neg.f64 (/.f64 1 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (neg.f64 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))))) (#(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 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((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 (+.f64 eps x))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 eps x)) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 (cos.f64 (+.f64 eps x)) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))))))
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(cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 eps x))))))))

simplify107.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1162×associate-*r*
862×associate-/r*
854×associate-*l*
714×times-frac
674×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063011970
1174811254
Stop Event
1×node limit
Counts
296 → 348
Calls
Call 1
Inputs
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
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(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (cos.f64 (+.f64 eps x)) 1)
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (*.f64 1 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(pow.f64 (cos.f64 (+.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (cos.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 eps x))))
Outputs
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))))
(+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
(-.f64 (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 x))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (+.f64 (*.f64 1/2 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))) (*.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (/.f64 1/6 (cos.f64 x)) (+.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3)))))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) -1/6))))))
(+.f64 (-.f64 (+.f64 (/.f64 eps (cos.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (sin.f64 x))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (*.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 (/.f64 1 (cos.f64 x)) -1/3) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 -1 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))
(*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x (sin.f64 eps)))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))
(-.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 eps)) (/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2)) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x (sin.f64 eps)))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))))
(-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x)) (/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1/2 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 (neg.f64 eps)) (*.f64 x (sin.f64 eps))) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps))))))
(fma.f64 (fma.f64 1/6 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (fma.f64 -1/2 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (fma.f64 -1 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (pow.f64 x 3) (fma.f64 (fma.f64 -1 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2)) (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (neg.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x (sin.f64 eps)))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))))
(fma.f64 (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) -1/3)) (pow.f64 x 3) (-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1/2) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x)) (/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
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(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) 0) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))) 1)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (cos.f64 (+.f64 eps x)) 2))
(*.f64 (cos.f64 x) (cos.f64 eps))
(+.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))) 1)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (cos.f64 (+.f64 eps x)) 2))
(*.f64 (cos.f64 x) (cos.f64 eps))
(+.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 0 (neg.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))) 1)
(cos.f64 (+.f64 eps x))
(-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) 0) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))) 1)
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (cos.f64 (+.f64 eps x)) 2))
(*.f64 (cos.f64 x) (cos.f64 eps))
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))) 1)
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (/.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (cos.f64 (+.f64 eps x)) 2))
(*.f64 (cos.f64 x) (cos.f64 eps))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) 0) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(*.f64 (cos.f64 (+.f64 eps x)) 1)
(cos.f64 (+.f64 eps x))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))) (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (*.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))) (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))) (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))))
(/.f64 (cos.f64 (+.f64 eps x)) 1)
(cos.f64 (+.f64 eps x))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2)) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (cos.f64 (+.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (*.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (*.f64 1 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (*.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(pow.f64 (cos.f64 (+.f64 eps x)) 1)
(cos.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) 2)
(cos.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 3)
(cos.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 1/3)
(cos.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 eps x)))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) 1))
(cos.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 eps x))))
(cos.f64 (+.f64 eps x))

localize17.0ms (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))))
✓3.4b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
3.8b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 36 to 16 computations (55.6% saved)

series10.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite85.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1088×*-commutative
746×associate-/r*
678×distribute-lft-in
664×distribute-rgt-in
458×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
125445
2326845
Stop Event
1×node limit
Counts
3 → 197
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) 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 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (+.f64 (fma.f64 (neg.f64 x) 1 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simplify129.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
998×associate-*r*
796×associate-*l*
716×*-commutative
652×associate-/l*
510×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065513881
1192713387
Stop Event
1×node limit
Counts
269 → 363
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))))
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(exp.f64 (log.f64 (tan.f64 (+.f64 x eps))))
(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 (tan.f64 x) (neg.f64 (tan.f64 eps)))))
(+.f64 (*.f64 1 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (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 (/.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 (pow.f64 (tan.f64 (+.f64 x eps)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (tan.f64 (+.f64 x eps))))))
(*.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 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)) (neg.f64 (/.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 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (cos.f64 (+.f64 x eps)) (/.f64 1 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))) (neg.f64 (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))) (neg.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))))
(*.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 (/.f64 -1 (sqrt.f64 (tan.f64 (+.f64 x eps)))) (/.f64 -1 (sqrt.f64 (tan.f64 (+.f64 x eps)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (/.f64 -1 (cbrt.f64 (tan.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 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) -1) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 2) -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 (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 -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 1 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))) (/.f64 1 (cbrt.f64 (tan.f64 (+.f64 x 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 (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 (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 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.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 (/.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 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cos.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 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.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 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (tan.f64 (+.f64 x eps))))) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2)))) (/.f64 1 (cbrt.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 (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)
(neg.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(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)))))
(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 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (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 (*.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 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 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1/6 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (neg.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (*.f64 x x)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))) (*.f64 (pow.f64 x 3) (+.f64 1/6 (fma.f64 -1/2 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 1/6 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (*.f64 -1 x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) x))
(+.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.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)))))))) x))
(+.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))))) x)
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (*.f64 eps eps) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (neg.f64 (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1/6 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2)) (*.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))))) x)
(+.f64 (-.f64 (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) x)
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
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(/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x))))
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(/.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 (cos.f64 eps) (sin.f64 eps))
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(*.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) (/.f64 1 (*.f64 (cbrt.f64 (sin.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) (/.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) 2)) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 eps x))) -2) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 eps) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.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 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))) (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 x eps)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x))))) (neg.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x))))))
(*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (tan.f64 (+.f64 eps x)))))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (tan.f64 (+.f64 x eps))))) (pow.f64 (tan.f64 (+.f64 x eps)) -1/2))
(*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) -1/2) (/.f64 1 (sqrt.f64 (tan.f64 (+.f64 eps x)))))
(*.f64 (neg.f64 (neg.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))))
(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)))
(neg.f64 (/.f64 -1 (tan.f64 (+.f64 x eps))))
(/.f64 1 (tan.f64 (+.f64 eps x)))
(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)))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))
(/.f64 1 (tan.f64 (+.f64 eps x)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 -1 (cos.f64 x))
✓0.2b
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
✓0.2b
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
✓3.7b
(cos.f64 (+.f64 eps x))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series12.0ms (0.1%)

Counts
4 → 60
Calls

21 calls:

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

rewrite104.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1780×associate-/r*
1358×associate-/l*
588×distribute-lft-in
338×associate-/r/
300×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01380
128678
2395978
Stop Event
1×node limit
Counts
4 → 300
Calls
Call 1
Inputs
(cos.f64 (+.f64 eps x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
(/.f64 -1 (cos.f64 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x)))) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (cos.f64 x) (neg.f64 (cos.f64 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simplify132.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1714×associate-/r*
1402×associate-*r*
1206×associate-/l/
888×associate-*l*
852×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085016454
1236716312
Stop Event
1×node limit
Counts
360 → 501
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))) 1) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) 1) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) 1) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) 1) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) -1) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) -1) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) 1) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))) (cbrt.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))))) (sqrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2))) (cbrt.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) -1) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) 1) (neg.f64 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x))))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x)))) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (cos.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3) (pow.f64 (/.f64 -1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) 1)
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 1)
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 (+.f64 eps x)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 (+.f64 eps x))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) -1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (cos.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 -1 (cos.f64 x)) 1)
(*.f64 1 (/.f64 -1 (cos.f64 x)))
(*.f64 (sqrt.f64 (/.f64 -1 (cos.f64 x))) (sqrt.f64 (/.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) 2) (/.f64 -1 (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (cos.f64 x)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 -1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 -1 (cbrt.f64 (cos.f64 x))))
(pow.f64 (/.f64 -1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 x))) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (cos.f64 x)) 3) 1/3)
(pow.f64 (neg.f64 (cos.f64 x)) -1)
(neg.f64 (/.f64 1 (cos.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (cos.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 x))))
Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))) (cos.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 eps)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))) (cos.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))) (cos.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2)) (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 (+.f64 eps x))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (cos.f64 eps)))) (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (+.f64 eps x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) 1) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) (cos.f64 eps)))) (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 1)
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 2)
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3)
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3) 1/3)
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) -1)
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 (+.f64 x eps))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) 3))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 1))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (cos.f64 x)))) 1)
(/.f64 -1 (cos.f64 x))
(*.f64 -1 (/.f64 1 (cos.f64 x)))
(/.f64 -1 (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) 1)
(/.f64 -1 (cos.f64 x))
(*.f64 1 (/.f64 -1 (cos.f64 x)))
(/.f64 -1 (cos.f64 x))
(*.f64 (sqrt.f64 (/.f64 -1 (cos.f64 x))) (sqrt.f64 (/.f64 -1 (cos.f64 x))))
(/.f64 -1 (cos.f64 x))
(*.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) 2))
(/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) 2) (/.f64 -1 (cbrt.f64 (cos.f64 x))))
(/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3))
(*.f64 (/.f64 1 (cos.f64 x)) -1)
(/.f64 -1 (cos.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 -1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 -1 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 -1 (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(pow.f64 (/.f64 -1 (cos.f64 x)) 1)
(/.f64 -1 (cos.f64 x))
(pow.f64 (sqrt.f64 (/.f64 -1 (cos.f64 x))) 2)
(/.f64 -1 (cos.f64 x))
(pow.f64 (/.f64 -1 (cbrt.f64 (cos.f64 x))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3))
(pow.f64 (pow.f64 (/.f64 -1 (cos.f64 x)) 3) 1/3)
(/.f64 -1 (cos.f64 x))
(pow.f64 (neg.f64 (cos.f64 x)) -1)
(/.f64 -1 (cos.f64 x))
(neg.f64 (/.f64 1 (cos.f64 x)))
(/.f64 -1 (cos.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (cos.f64 x))))
(/.f64 -1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (cos.f64 x)))))
(/.f64 -1 (cos.f64 x))
(cbrt.f64 (pow.f64 (/.f64 -1 (cos.f64 x)) 3))
(/.f64 -1 (cos.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (cos.f64 x))))
(/.f64 -1 (cos.f64 x))
(exp.f64 (log.f64 (/.f64 -1 (cos.f64 x))))
(/.f64 -1 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cos.f64 x))) 1))
(/.f64 -1 (cos.f64 x))
(log1p.f64 (expm1.f64 (/.f64 -1 (cos.f64 x))))
(/.f64 -1 (cos.f64 x))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
✓0.1b
(*.f64 eps (sin.f64 x))
✓0.1b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
✓0.2b
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
Compiler

Compiled 55 to 11 computations (80% saved)

series16.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

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

rewrite125.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1088×associate-/r/
932×associate-/l/
766×distribute-rgt-in
710×distribute-lft-in
328×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014120
1309104
24651104
Stop Event
1×node limit
Counts
4 → 319
Calls
Call 1
Inputs
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(*.f64 eps (sin.f64 x))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
Outputs
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(pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (*.f64 eps (sin.f64 x)))))))

simplify162.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1662×associate-*l*
1300×associate-/r*
1036×*-commutative
996×associate-/l*
758×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085622453
1259021821
Stop Event
1×node limit
Counts
387 → 590
Calls
Call 1
Inputs
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 eps 4) (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))) (sin.f64 x))) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 eps (sin.f64 x)))
(+.f64 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 eps (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 eps (sin.f64 x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 eps))) (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 (neg.f64 eps))) (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 4))) (+.f64 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 eps (sin.f64 x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (neg.f64 eps))) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 (neg.f64 eps))) (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3))))))
(/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 eps (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 eps (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 eps (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) (cos.f64 x)) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 (sin.f64 (*.f64 -1 eps)) (*.f64 eps (sin.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 4))) (/.f64 (*.f64 (sin.f64 (*.f64 -1 eps)) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3))))))
(*.f64 -1 (sin.f64 (neg.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 (neg.f64 eps)) x))) (*.f64 -1 (sin.f64 (neg.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (sin.f64 (neg.f64 eps))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 eps))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 (neg.f64 eps)) x))) (*.f64 -1 (sin.f64 (neg.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (sin.f64 (neg.f64 eps))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 eps))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 (neg.f64 eps)) x))) (+.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 -1/2 (sin.f64 (neg.f64 eps))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 (neg.f64 eps)))))) (+.f64 (*.f64 1/6 (*.f64 eps (sin.f64 (neg.f64 eps)))) (*.f64 -1/2 (*.f64 eps (sin.f64 (neg.f64 eps)))))) (pow.f64 x 3)) (*.f64 -1 (sin.f64 (neg.f64 eps))))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 eps)) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
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1
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(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (+.f64 (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) eps (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1 (fma.f64 eps (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1 (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (*.f64 eps (sin.f64 x))) 1))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (fma.f64 eps (sin.f64 x) (*.f64 eps (sin.f64 x))) 1))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 eps (sin.f64 x))) 1))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))) 1))
(+.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x))) 1))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) eps (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 eps (sin.f64 x) (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (*.f64 eps (sin.f64 x)) 1 (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 2) (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(+.f64 (-.f64 (cos.f64 x) 0) (*.f64 eps (sin.f64 x)))
(+.f64 (-.f64 (cos.f64 x) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)
(*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)
(*.f64 1 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (/.f64 1 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 eps (sin.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) 1) (/.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) 1) (/.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(/.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))
(/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (pow.f64 (*.f64 eps (sin.f64 x)) 2))) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) (pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 3)) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (*.f64 eps (sin.f64 x)) 2))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 1 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (*.f64 eps (sin.f64 x)))
Outputs
(/.f64 eps (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x)))
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 eps (cos.f64 x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (/.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 eps (cos.f64 x))))
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1
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(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 2) (fma.f64 eps (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 3) (*.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 2) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (+.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 4) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (*.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 2) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))))
(*.f64 (/.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 2) (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3))) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (sin.f64 x) (cos.f64 x))))
(pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2)
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 3)
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) 1/3)
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) 3))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) 1))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(fma.f64 1 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (*.f64 eps (sin.f64 x)))

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
✓0.2b
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓4.0b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 93 to 30 computations (67.7% saved)

series17.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
3.0ms
eps
@0
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
1.0ms
x
@0
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
1.0ms
x
@inf
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
1.0ms
eps
@inf
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))

rewrite177.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
015159
1344159
24700159
Stop Event
1×node limit
Counts
3 → 288
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
Outputs
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simplify451.0ms (2.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
069344808
1215344120
Stop Event
1×node limit
Counts
360 → 374
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.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))))
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(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(fma.f64 -1 (*.f64 x (*.f64 x (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)) (neg.f64 (+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cos.f64 eps) 4)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -4/3)) (pow.f64 x 3)) (*.f64 x (*.f64 x (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
(fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (neg.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(fma.f64 eps (-.f64 1 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (*.f64 (*.f64 eps eps) (neg.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))))))
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(*.f64 (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 4) (pow.f64 (tan.f64 x) 4))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 4) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)))) (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) 3) (pow.f64 (pow.f64 (tan.f64 x) 2) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 4) (pow.f64 (tan.f64 x) 4))) (/.f64 (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 6) (pow.f64 (tan.f64 x) 6))))
(pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) -1)
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1)
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) -1/2) 2)
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 3)
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) -1))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))) 1))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))

eval1.4s (6.7%)

Compiler

Compiled 75347 to 28519 computations (62.1% saved)

prune1.1s (5.1%)

Pruning

70 alts after pruning (62 fresh and 8 done)

PrunedKeptTotal
New2368232391
Fresh173956
Picked011
Done4711
Total2389702459
Error
0b
Counts
2459 → 70
Alt Table
Click to see full alt table
StatusErrorProgram
22.9b
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
13.4b
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
61.1b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
14.1b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
61.1b
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
61.1b
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
13.3b
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
47.7b
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
59.5b
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
36.5b
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
✓0.4b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
31.2b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
13.8b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
30.1b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
✓29.6b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
12.8b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
26.9b
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
30.7b
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
61.1b
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))
61.1b
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
13.1b
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
61.5b
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
29.5b
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
61.1b
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
13.2b
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
24.9b
(/.f64 (sin.f64 eps) (cos.f64 eps))
41.6b
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
61.7b
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
30.7b
(/.f64 eps (pow.f64 (cos.f64 x) 2))
25.0b
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
25.0b
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓23.0b
(/.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))))
37.9b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
27.8b
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
32.2b
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))))
61.1b
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
23.1b
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
22.9b
(-.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
22.9b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
37.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
23.1b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
37.7b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) x)
✓37.9b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
23.0b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓22.9b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓36.5b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.4b
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
37.5b
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
✓37.8b
(-.f64 (tan.f64 (+.f64 x eps)) x)
23.7b
(-.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))
46.5b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
12.3b
(+.f64 (/.f64 (tan.f64 eps) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
30.7b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
13.3b
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
38.6b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (sin.f64 eps)))
13.3b
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
61.1b
(*.f64 (/.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3))
59.1b
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
59.3b
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
61.1b
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
61.1b
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
13.4b
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
59.7b
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
0.3b
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
✓61.7b
(neg.f64 x)
23.7b
(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))))
30.4b
(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))))
47.6b
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
Compiler

Compiled 1106 to 743 computations (32.8% saved)

regimes337.0ms (1.6%)

Counts
154 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
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(log1p.f64 (expm1.f64 (-.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))))
(cbrt.f64 (pow.f64 (-.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)) 3))
(pow.f64 (cbrt.f64 (-.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))) 3)
(exp.f64 (log.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))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 eps (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))
(fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) 1) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x))) (/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (sin.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1))) (/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.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)))))))
(fma.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3) (*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (*.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
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
Calls

3 calls:

131.0ms
eps
73.0ms
x
45.0ms
(-.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 2679 to 1032 computations (61.5% saved)

regimes896.0ms (4.3%)

Counts
111 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(/.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(/.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
(*.f64 (/.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (sin.f64 eps)))
(-.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
Outputs
(-.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

493.0ms
x
229.0ms
eps
114.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
7.3b8x
0.2b3eps
7.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1386 to 505 computations (63.6% saved)

bsearch70.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
38.0ms
2.0226952628114444e-10
0.7163106273316538
31.0ms
-4.174860242767424e-6
-5.594910879019754e-8
Results
27.0ms70×body1024valid
21.0ms141×body256valid
11.0ms36×body512valid
6.0ms9×body2048valid
Compiler

Compiled 590 to 362 computations (38.6% saved)

regimes575.0ms (2.7%)

Counts
108 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(/.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(/.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
(*.f64 (/.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 1 (/.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (sin.f64 eps)))
Outputs
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

353.0ms
x
122.0ms
eps
68.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
7.3b8x
0.3b3eps
7.3b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1335 to 487 computations (63.5% saved)

bsearch55.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
2.0226952628114444e-10
0.7163106273316538
25.0ms
-4.174860242767424e-6
-5.594910879019754e-8
Results
21.0ms60×body1024valid
21.0ms159×body256valid
8.0ms32×body512valid
3.0ms5×body2048valid
Compiler

Compiled 632 to 404 computations (36.1% saved)

regimes477.0ms (2.3%)

Counts
104 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(/.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(/.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
(*.f64 (/.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
Outputs
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

294.0ms
x
103.0ms
eps
56.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
7.3b8x
0.3b3eps
7.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1261 to 460 computations (63.5% saved)

bsearch55.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
2.0226952628114444e-10
0.7163106273316538
23.0ms
-4.174860242767424e-6
-5.594910879019754e-8
Results
20.0ms163×body256valid
18.0ms54×body1024valid
7.0ms29×body512valid
5.0ms10×body2048valid
Compiler

Compiled 618 to 390 computations (36.9% saved)

regimes462.0ms (2.2%)

Counts
101 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(/.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(/.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
(*.f64 (/.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Outputs
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

286.0ms
x
100.0ms
eps
53.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
7.3b8x
0.3b3eps
7.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1201 to 435 computations (63.8% saved)

bsearch55.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
2.0226952628114444e-10
0.7163106273316538
23.0ms
-4.174860242767424e-6
-5.594910879019754e-8
Results
23.0ms68×body1024valid
20.0ms159×body256valid
5.0ms23×body512valid
3.0ms6×body2048valid
Compiler

Compiled 604 to 376 computations (37.7% saved)

regimes464.0ms (2.2%)

Counts
99 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(/.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(/.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
(*.f64 (/.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

285.0ms
x
102.0ms
eps
55.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
7.3b8x
0.3b3eps
7.4b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1165 to 423 computations (63.7% saved)

bsearch54.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
2.0226952628114444e-10
0.7163106273316538
23.0ms
-4.174860242767424e-6
-5.594910879019754e-8
Results
23.0ms69×body1024valid
19.0ms156×body256valid
6.0ms28×body512valid
2.0ms3×body2048valid
Compiler

Compiled 590 to 362 computations (38.6% saved)

regimes114.0ms (0.5%)

Counts
98 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 eps (+.f64 x x))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(/.f64 (expm1.f64 (log1p.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(/.f64 (log.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))) 3)
(*.f64 (/.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) 3))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 3)) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 1 (exp.f64 (log1p.f64 eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
Outputs
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
Calls

3 calls:

37.0ms
eps
36.0ms
x
19.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.8b1x
12.8b1eps
12.8b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1149 to 419 computations (63.5% saved)

regimes87.0ms (0.4%)

Counts
77 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 -1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 x (+.f64 eps x)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 (+.f64 eps (+.f64 x x))) (cos.f64 (neg.f64 eps))))
(*.f64 (sin.f64 (-.f64 (-.f64 x x) eps)) (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 x x) eps)))) (/.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 x eps) x))) (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (exp.f64 (log.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log.f64 (exp.f64 (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (tan.f64 x) 3)))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (tan.f64 x)) 3))
(-.f64 (tan.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (tan.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps))) -1)
(pow.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 eps x))) -1)
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (fabs.f64 (neg.f64 (sin.f64 (neg.f64 eps)))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
Outputs
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
Calls

3 calls:

28.0ms
eps
27.0ms
x
17.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.1b1x
13.1b1eps
13.1b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 833 to 307 computations (63.1% saved)

regimes51.0ms (0.2%)

Counts
44 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x)) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 1 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sin.f64 eps))
(*.f64 (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x)))
(/.f64 -1 (/.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (/.f64 -1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (cos.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(*.f64 (sin.f64 eps) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (/.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (*.f64 (/.f64 1 (cos.f64 (+.f64 eps x))) (sin.f64 eps)))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
Outputs
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
Calls

3 calls:

16.0ms
x
16.0ms
eps
11.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
13.2b1x
13.2b1eps
13.2b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 441 to 157 computations (64.4% saved)

regimes77.0ms (0.4%)

Counts
26 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
Calls

3 calls:

28.0ms
x
28.0ms
eps
17.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b3x
12.7b3eps
13.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 230 to 97 computations (57.8% saved)

bsearch56.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
2.0226952628114444e-10
0.7163106273316538
27.0ms
-474.8782119811951
-0.05118493984848175
Results
21.0ms64×body1024valid
21.0ms169×body256valid
8.0ms35×body512valid
2.0ms4×body2048valid
Compiler

Compiled 330 to 249 computations (24.5% saved)

regimes66.0ms (0.3%)

Counts
21 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (cos.f64 x))
(/.f64 (/.f64 eps (cos.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 1 (/.f64 1 (tan.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (+.f64 (*.f64 -1 x) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (fabs.f64 (tan.f64 x)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

3 calls:

24.0ms
eps
23.0ms
x
14.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
14.4b3x
12.8b3eps
13.5b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 184 to 85 computations (53.8% saved)

bsearch56.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
2.0226952628114444e-10
0.7163106273316538
27.0ms
-474.8782119811951
-0.05118493984848175
Results
23.0ms69×body1024valid
21.0ms170×body256valid
7.0ms29×body512valid
2.0ms4×body2048valid
Compiler

Compiled 303 to 231 computations (23.8% saved)

regimes8.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) x)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
Calls

2 calls:

4.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
24.9b1x
24.9b1eps
Compiler

Compiled 41 to 22 computations (46.3% saved)

regimes8.0ms (0%)

Accuracy

Total -23.9b remaining (-63.3%)

Threshold costs -23.9b (-63.3%)

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

2 calls:

4.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
37.8b1x
37.8b1eps
Compiler

Compiled 36 to 19 computations (47.2% saved)

simplify49.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
136×*-commutative
124×+-commutative
96×distribute-lft-neg-in
78×neg-sub0
74×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141166
11841158
22471158
33041158
43621158
54101158
64411158
74641158
84831158
95081158
105191158
115231158
125281158
135331158
145351158
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -4533471823554859/9444732965739290427392) (-.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) (if (<=.f64 eps 6422418416702717/18889465931478580854784) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/9444732965739290427392) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 731966804844795/4722366482869645213696) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/18889465931478580854784) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 8689154328480147/37778931862957161709568) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6422418416702717/37778931862957161709568) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 519460313115661/2361183241434822606848) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -1369486280032197/4722366482869645213696) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 519460313115661/2361183241434822606848) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(if (<=.f64 eps -7493989779944505/144115188075855872) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1770887431076117/2361183241434822606848) (/.f64 eps (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -7493989779944505/144115188075855872) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 7177997053961861/37778931862957161709568) (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(neg.f64 x)
Outputs
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -4533471823554859/9444732965739290427392) (-.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) (if (<=.f64 eps 6422418416702717/18889465931478580854784) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4533471823554859/9444732965739290427392) (-.f64 (neg.f64 (tan.f64 x)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (if (<=.f64 eps 6422418416702717/18889465931478580854784) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/9444732965739290427392) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 731966804844795/4722366482869645213696) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/9444732965739290427392) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (tan.f64 x)) (if (<=.f64 eps 731966804844795/4722366482869645213696) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/9444732965739290427392) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (+.f64 -1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x)) (if (<=.f64 eps 731966804844795/4722366482869645213696) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/9444732965739290427392) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (tan.f64 x)) (if (<=.f64 eps 731966804844795/4722366482869645213696) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/18889465931478580854784) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 8689154328480147/37778931862957161709568) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -4061235175267895/18889465931478580854784) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x)))))) (tan.f64 x)) (if (<=.f64 eps 8689154328480147/37778931862957161709568) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6422418416702717/37778931862957161709568) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x)) (if (<=.f64 eps 519460313115661/2361183241434822606848) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -6422418416702717/37778931862957161709568) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x)) (if (<=.f64 eps 519460313115661/2361183241434822606848) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -1369486280032197/4722366482869645213696) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 519460313115661/2361183241434822606848) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (-.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 -1369486280032197/4722366482869645213696) (not (<=.f64 eps 519460313115661/2361183241434822606848))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (neg.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (cos.f64 x))
(/.f64 (*.f64 2 (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (*.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 eps (+.f64 x x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(if (<=.f64 eps -7493989779944505/144115188075855872) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 1770887431076117/2361183241434822606848) (/.f64 eps (pow.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -7493989779944505/144115188075855872) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 7177997053961861/37778931862957161709568) (/.f64 eps (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (or (<=.f64 eps -7493989779944505/144115188075855872) (not (<=.f64 eps 7177997053961861/37778931862957161709568))) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 eps (pow.f64 (cos.f64 x) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(neg.f64 x)
Compiler

Compiled 409 to 237 computations (42.1% saved)

soundness288.0ms (1.4%)

Algorithm
4×egg-herbie
Rules
1662×associate-*l*
1550×fma-def
1300×associate-/r*
1234×associate-/l/
1064×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101335102
1276934744
079024032
1219719860
085622453
1259021821
061614063
1170713469
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 530 to 177 computations (66.6% saved)

end100.0ms (0.5%)

Compiler

Compiled 383 to 140 computations (63.4% saved)

Profiling

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