Details

Time bar (total: 21.4s)

analyze495.0ms (2.3%)

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

Compiled 10 to 7 computations (30% saved)

sample3.7s (17.2%)

Results
1.6s3557×body1024valid
1.3s1282×body2048valid
484.0ms1452×body512valid
290.0ms1962×body256valid
3.0ms3×body4096valid
Bogosity

preprocess49.0ms (0.2%)

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)

simplify22.0ms (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
35.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓1.9b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite116.0ms (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
0932
120732
2299732
Stop Event
1×node limit
Counts
2 → 166
Calls
Call 1
Inputs
(tan.f64 (+.f64 x eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
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simplify179.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

eval157.0ms (0.7%)

Compiler

Compiled 9436 to 3641 computations (61.4% saved)

prune104.0ms (0.5%)

Pruning

41 alts after pruning (40 fresh and 1 done)

PrunedKeptTotal
New26240302
Fresh000
Picked011
Done000
Total26241303
Error
0.1b
Counts
303 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
50.5b
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
▶48.6b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
35.9b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
21.0b
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
21.0b
(/.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)))
35.4b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
49.6b
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
36.0b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
24.8b
(-.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))
▶23.1b
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
23.1b
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
20.9b
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
21.9b
(-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
42.1b
(-.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))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
36.0b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
▶35.4b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
20.8b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
20.9b
(-.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))
20.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
35.5b
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
22.0b
(-.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
✓35.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
35.8b
(-.f64 (tan.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
35.7b
(-.f64 (log1p.f64 (expm1.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
43.4b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
43.1b
(-.f64 (log.f64 (exp.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.7b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
40.4b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
40.0b
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
28.6b
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
43.3b
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
32.9b
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
32.9b
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
▶35.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
42.9b
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
48.2b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
40.7b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
48.9b
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
39.7b
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
Compiler

Compiled 1429 to 874 computations (38.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
✓0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓2.2b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 55 to 16 computations (70.9% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite167.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
013122
1291122
24194122
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 (tan.f64 x) (tan.f64 eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))))) 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sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))))))

simplify200.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
082126886
1238726678
Stop Event
1×node limit
Counts
346 → 465
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
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(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 x) (cos.f64 x))
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(*.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (neg.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.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 (tan.f64 x) (tan.f64 eps)) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (sqrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 x x) (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 x x) (*.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (cbrt.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) -1)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 1/3)
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) -1) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 1))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))

localize15.0ms (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))))
1.9b
(tan.f64 (+.f64 x eps))
✓6.5b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
Compiler

Compiled 39 to 17 computations (56.4% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
7.0ms
x
@0
(/.f64 1 (tan.f64 (+.f64 x eps)))
1.0ms
eps
@0
(/.f64 1 (tan.f64 (+.f64 x eps)))
0.0ms
x
@inf
(/.f64 1 (tan.f64 (+.f64 x eps)))
0.0ms
x
@-inf
(/.f64 1 (tan.f64 (+.f64 x eps)))
0.0ms
eps
@-inf
(/.f64 1 (tan.f64 (+.f64 x eps)))

rewrite95.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
127649
2359649
Stop Event
1×node limit
Counts
3 → 194
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps))))
(/.f64 1 (tan.f64 (+.f64 x eps)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (+.f64 x eps)))))))))

simplify143.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.9b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite89.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify178.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓0.2b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
1.7b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.9b
(tan.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series12.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
1.0ms
eps
@0
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms
x
@0
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)

rewrite95.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1522×associate-*r/
1370×associate-*l/
738×distribute-lft-in
352×associate-/r*
272×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
127146
2343946
Stop Event
1×node limit
Counts
2 → 176
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
Outputs
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simplify170.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1272×associate-+l-
1266×associate-+r-
626×associate-/l*
588×associate-*r*
566×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053714854
1147614298
2659214298
Stop Event
1×node limit
Counts
216 → 287
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.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 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (sin.f64 eps)) (cos.f64 eps))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (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 (/.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)))
(sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (pow.f64 x 2)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps))))))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (pow.f64 x 2)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sqrt.f64 (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 (neg.f64 (tan.f64 x)) 1))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (*.f64 1 (*.f64 (neg.f64 (tan.f64 x)) 1)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (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))) 1) (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))) (cbrt.f64 (sqrt.f64 (-.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 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (fma.f64 -1 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4)) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (sin.f64 eps)) (cos.f64 eps))) (+.f64 1/2 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4)) (*.f64 x x) (fma.f64 (fma.f64 -1 (fma.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.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)))))))) (*.f64 -1/2 (/.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps))))) (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)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1/4) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (fma.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2 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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 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 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 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (pow.f64 x 2)))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 x x))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (fma.f64 -1/2 (*.f64 (-.f64 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (pow.f64 x 3) (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 1/2 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (/.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 (fma.f64 -1 (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) 2)) (*.f64 x x))) (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
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(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2)))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.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))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.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 (pow.f64 1 1/2) (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))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) 1) (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 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (sqrt.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 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) 1) (sqrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (sqrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.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 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 3) (pow.f64 (tan.f64 x) 3))) (cbrt.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 2) (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (cbrt.f64 (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) 2) (pow.f64 (tan.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1/4) 2)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 3)
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3/2))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 1/2))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) 1))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(sqrt.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (tan.f64 x) 2)
✓0.2b
(*.f64 (tan.f64 eps) (tan.f64 eps))
✓3.2b
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓3.8b
(/.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))))
Compiler

Compiled 110 to 34 computations (69.1% saved)

series30.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(-.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))
4.0ms
x
@-inf
(/.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))))
2.0ms
eps
@0
(-.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))
2.0ms
x
@inf
(-.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))
2.0ms
x
@inf
(/.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))))

rewrite176.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1676×associate-/l/
434×add-sqr-sqrt
426×*-un-lft-identity
424×pow1
402×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018178
1412114
26204114
Stop Event
1×node limit
Counts
4 → 159
Calls
Call 1
Inputs
(/.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))))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(*.f64 (tan.f64 eps) (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 (pow.f64 (tan.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (tan.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 eps) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))))

simplify175.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
822×fma-def
680×associate-*r*
664×associate-*l*
574×associate-/l*
536×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057122081
1170720083
Stop Event
1×node limit
Counts
231 → 274
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.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 (*.f64 -1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (sin.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.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 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (*.f64 (-.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (sin.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 -1 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (sin.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.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 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 2/3 (+.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 (-.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) (sin.f64 x)) (*.f64 -1/3 (/.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 (pow.f64 eps 2) (-.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(*.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 (pow.f64 (tan.f64 x) 2) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 1 (*.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 (tan.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 (+.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) 1) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (sin.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.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 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x) (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))))
(fma.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 eps)) (sin.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) 1) 2)))) (*.f64 x x) (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) 1) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (*.f64 (-.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (sin.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 -1 (+.f64 1/3 (*.f64 1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2)) (sin.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.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 -1 (*.f64 (fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (+.f64 1 (fma.f64 -1 (+.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/3)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 x 3)) (fma.f64 (-.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (fma.f64 -1 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x) (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 (fma.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 eps)) (sin.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) 1) 2)))) (*.f64 x x) (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) 1) x (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 2/3 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1/3))) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) 1) (-.f64 (/.f64 (neg.f64 (cos.f64 eps)) (sin.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) 1) 2))))))) (pow.f64 x 3)))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.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 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 1 (/.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 x))) (cos.f64 x)))))
(/.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 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 (pow.f64 eps 2) (-.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (sin.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (*.f64 eps eps) (-.f64 (-.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))) (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (-.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))) (/.f64 (sin.f64 x) (cos.f64 x))))))
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(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2))) 1)
(pow.f64 (tan.f64 eps) 2)
(/.f64 (pow.f64 (tan.f64 eps) 2) 1)
(pow.f64 (tan.f64 eps) 2)
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (*.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 eps))
(pow.f64 (tan.f64 eps) 2)
(pow.f64 (pow.f64 (tan.f64 eps) 2) 1)
(pow.f64 (tan.f64 eps) 2)
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 6) 1/3)
(cbrt.f64 (pow.f64 (tan.f64 eps) 6))
(sqrt.f64 (pow.f64 (tan.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 eps) 2))))
(pow.f64 (tan.f64 eps) 2)
(cbrt.f64 (pow.f64 (tan.f64 eps) 6))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (*.f64 2 (log.f64 (tan.f64 eps))))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 2))
(pow.f64 (tan.f64 eps) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 eps))) 1))
(pow.f64 (tan.f64 eps) 2)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 2)))
(pow.f64 (tan.f64 eps) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)
(pow.f64 (tan.f64 x) 2)
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (tan.f64 x) 2)
(*.f64 (pow.f64 (tan.f64 x) 2) 1)
(pow.f64 (tan.f64 x) 2)
(*.f64 1 (pow.f64 (tan.f64 x) 2))
(pow.f64 (tan.f64 x) 2)
(*.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (pow.f64 (tan.f64 x) 4)))
(*.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(*.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 2)
(/.f64 (pow.f64 (tan.f64 x) 2) 1)
(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 (sin.f64 x) (sin.f64 x)) (*.f64 1 (*.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 (tan.f64 x) 6))
(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)

eval1.8s (8.4%)

Compiler

Compiled 85367 to 34639 computations (59.4% saved)

prune942.0ms (4.4%)

Pruning

48 alts after pruning (43 fresh and 5 done)

PrunedKeptTotal
New2360312391
Fresh231235
Picked101
Done055
Total2384482432
Error
0.1b
Counts
2432 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
20.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
43.7b
(pow.f64 (sqrt.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)
45.2b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
✓48.6b
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
48.2b
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
48.4b
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
21.6b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
25.6b
(/.f64 (/.f64 (-.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 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)))
21.0b
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
27.9b
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (+.f64 (+.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)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)))))
21.0b
(/.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)))
20.9b
(/.f64 (-.f64 (*.f64 (cos.f64 x) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (*.f64 (sin.f64 x) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (*.f64 (cos.f64 x) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
▶26.5b
(/.f64 (sin.f64 eps) (cos.f64 eps))
35.4b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
36.0b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
36.5b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
25.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
✓20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
24.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (expm1.f64 (log1p.f64 (tan.f64 x))))
21.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
23.1b
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
36.0b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
20.8b
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
▶21.0b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
61.2b
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
✓35.4b
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
21.0b
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
48.4b
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
20.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
20.8b
(-.f64 (*.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
✓35.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.8b
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
47.7b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
40.4b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
▶12.8b
(+.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))))
32.9b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
32.9b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
▶42.5b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
26.9b
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
36.5b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓35.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
48.2b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
40.7b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Compiler

Compiled 1883 to 1127 computations (40.1% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (sin.f64 x) (cos.f64 x))
✓0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓0.2b
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓3.2b
(-.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)))
Compiler

Compiled 155 to 30 computations (80.6% saved)

series55.0ms (0.3%)

Counts
4 → 56
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
2.0ms
x
@inf
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
2.0ms
eps
@inf
(-.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)))
2.0ms
x
@-inf
(-.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)))
2.0ms
eps
@-inf
(-.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)))

rewrite129.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1604×associate-/r/
384×add-sqr-sqrt
380×pow1
380×*-un-lft-identity
354×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01666
136266
2556766
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 x) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (neg.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (*.f64 (neg.f64 (tan.f64 x)) 1) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (#(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 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.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 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.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 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))))) (#(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 pow.f64 (/.f64 1 (tan.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))))) (#(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 cbrt.f64 (pow.f64 (tan.f64 x) 3))))) (#(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 (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)))))))

simplify181.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1496×associate-*r*
1424×associate-/l*
1206×associate-*l*
980×associate-/r*
858×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078718500
1241017914
Stop Event
1×node limit
Counts
306 → 441
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (sin.f64 eps)) (cos.f64 eps)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)))
(+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))))) (cos.f64 x))))) (+.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 3)) (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1/6 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))))))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
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eps
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x
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (tan.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) (pow.f64 (tan.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (cos.f64 x) (tan.f64 x)) (*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (log.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(fma.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 1 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) 2) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (neg.f64 (tan.f64 x)))
(+.f64 1 (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 0)
(-.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 1)
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (/.f64 1 (tan.f64 eps))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 eps)) (cos.f64 x)))
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
(/.f64 1 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 eps))))
(/.f64 1 (/.f64 (cos.f64 eps) (*.f64 (tan.f64 x) (sin.f64 eps))))
(/.f64 1 (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (tan.f64 x)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (sin.f64 x)))
(/.f64 (sin.f64 eps) (*.f64 (/.f64 1 (tan.f64 x)) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 1 (tan.f64 x))))
(/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (cos.f64 x))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (tan.f64 eps)) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))
(/.f64 (*.f64 (tan.f64 eps) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 eps)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (tan.f64 x)) (neg.f64 (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) 1) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) 1) (cos.f64 eps))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 eps))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 eps)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (tan.f64 eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) 1) (*.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 eps))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x))))
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 eps)) (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(*.f64 1 (tan.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(*.f64 (tan.f64 eps) 1)
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 eps))) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))
(pow.f64 (tan.f64 eps) 1)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (/.f64 1 (tan.f64 x)) -1)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
Outputs
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps)) (cos.f64 eps))) (+.f64 (*.f64 1/2 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))
(fma.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 -1 (/.f64 (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (*.f64 -1/2 (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 4) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/3) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (-.f64 1/3 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))) (pow.f64 x 4) (+.f64 (/.f64 (*.f64 x x) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
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(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))))
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(*.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)))
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(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
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(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps)))
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eps
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(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 (pow.f64 eps 5) 2/15))))
x
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(fma.f64 1/3 (pow.f64 x 3) x)
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(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)))
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(-.f64 (/.f64 (tan.f64 x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
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(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (/.f64 1 (cos.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) 1) (cos.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (/.f64 1 (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 1 (neg.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 eps))) (neg.f64 (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (cbrt.f64 (tan.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (/.f64 1 (cos.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) 1) (cos.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (/.f64 1 (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cos.f64 eps)))
(pow.f64 (tan.f64 eps) 1)
(tan.f64 eps)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(tan.f64 eps)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(tan.f64 eps)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(tan.f64 eps)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(/.f64 (tan.f64 eps) 1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(tan.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(tan.f64 eps)
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(tan.f64 eps)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(tan.f64 eps)
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(tan.f64 eps)
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 1) (cos.f64 x))
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1 (sqrt.f64 (sin.f64 x)))) (cos.f64 x))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 1) (cos.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.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 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1 (sqrt.f64 (sin.f64 x)))) (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (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 (/.f64 1 (tan.f64 x)) -1)
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 (tan.f64 x) 1)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(tan.f64 x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(tan.f64 x)
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 5 computations (58.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓0.2b
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓1.1b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
✓2.5b
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
Compiler

Compiled 36 to 12 computations (66.7% saved)

series95.0ms (0.4%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
79.0ms
eps
@inf
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
14.0ms
eps
@-inf
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
1.0ms
eps
@0
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
0.0ms
eps
@0
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
0.0ms
eps
@inf
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)

rewrite142.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
868×*-commutative
860×associate-*r/
704×associate-/r*
636×associate-*l/
606×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
122623
2257923
Stop Event
1×node limit
Counts
3 → 272
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (tan.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (tan.f64 eps))) (sqrt.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 2) (cbrt.f64 (expm1.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (-.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 1) (+.f64 1 (sqrt.f64 (exp.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)) (+.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) 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eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (tan.f64 eps))))))))

simplify154.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
672×associate-/l*
636×+-commutative
580×associate-*r*
506×associate--r+
484×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06359216
115468326
264078326
Stop Event
1×node limit
Counts
292 → 385
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 3/8 (pow.f64 eps 4)) (*.f64 1/2 (pow.f64 eps 3)))))
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
1
(+.f64 eps 1)
(+.f64 eps (+.f64 1 (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 eps (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 3)))))
(+.f64 (exp.f64 (tan.f64 eps)) -1)
(+.f64 1 (+.f64 (expm1.f64 (tan.f64 eps)) -1))
(+.f64 1 (-.f64 (expm1.f64 (tan.f64 eps)) 1))
(+.f64 (expm1.f64 (tan.f64 eps)) 0)
(+.f64 0 (expm1.f64 (tan.f64 eps)))
(+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2)
(+.f64 -1 (exp.f64 (tan.f64 eps)))
(+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1)
(*.f64 1 (expm1.f64 (tan.f64 eps)))
(*.f64 (expm1.f64 (tan.f64 eps)) 1)
(*.f64 (sqrt.f64 (expm1.f64 (tan.f64 eps))) (sqrt.f64 (expm1.f64 (tan.f64 eps))))
(*.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 2) (cbrt.f64 (expm1.f64 (tan.f64 eps))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (-.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 1))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 1) (+.f64 1 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)) (+.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))) (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 eps)) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) -1) (+.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) -1)) (expm1.f64 (tan.f64 eps)))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 eps))) (cbrt.f64 (tan.f64 eps))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 eps))) (cbrt.f64 (tan.f64 eps))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)))))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 eps)) (sqrt.f64 (cbrt.f64 (tan.f64 eps)))) (*.f64 (cbrt.f64 (tan.f64 eps)) (sqrt.f64 (cbrt.f64 (tan.f64 eps)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (sqrt.f64 (tan.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (sqrt.f64 (tan.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) 1))
(/.f64 (tan.f64 eps) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(/.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(/.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 eps))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 -1 (/.f64 -1 (tan.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (/.f64 (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (/.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (/.f64 (neg.f64 (cos.f64 eps)) (sqrt.f64 (neg.f64 (sin.f64 eps)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (/.f64 (/.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (/.f64 (neg.f64 (cos.f64 eps)) (cbrt.f64 (neg.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) 1) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (/.f64 (neg.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (neg.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (/.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (cbrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 1 (cbrt.f64 (tan.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 1 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 eps) 1)) (cos.f64 eps))
(/.f64 (*.f64 1 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 1 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (neg.f64 (sin.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (cbrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sin.f64 eps)) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (sqrt.f64 (sin.f64 eps))) (cos.f64 eps))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (cbrt.f64 (sin.f64 eps))) (cos.f64 eps))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (sin.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) 1) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (neg.f64 (sin.f64 eps)))) (cbrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) 1) 1) (cos.f64 eps))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) 1) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) 1) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 eps))) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 eps))) (cbrt.f64 (/.f64 1 (tan.f64 eps))))) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (cos.f64 eps)) 1)) (/.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1)) (/.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) 1) (neg.f64 (cos.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 eps))) (neg.f64 (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (neg.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) -1) (cos.f64 eps))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 eps))) (cbrt.f64 (neg.f64 (cos.f64 eps))))) (cbrt.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) 1) 1) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) 1) (sqrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) 1) (cbrt.f64 (cos.f64 eps)))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 eps)))) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 eps)))) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(pow.f64 (tan.f64 eps) 1)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(pow.f64 (/.f64 1 (tan.f64 eps)) -1)
(neg.f64 (/.f64 1 (/.f64 -1 (tan.f64 eps))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 -1 (tan.f64 eps))) 1))
(neg.f64 (*.f64 (sin.f64 eps) (/.f64 -1 (cos.f64 eps))))
(neg.f64 (*.f64 1 (/.f64 1 (/.f64 -1 (tan.f64 eps)))))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(+.f64 (exp.f64 (tan.f64 eps)) 0)
(+.f64 1 (expm1.f64 (tan.f64 eps)))
(+.f64 (expm1.f64 (tan.f64 eps)) 1)
(+.f64 0 (exp.f64 (tan.f64 eps)))
(+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -1)
(+.f64 -1 (+.f64 (exp.f64 (tan.f64 eps)) 1))
(-.f64 (exp.f64 (tan.f64 eps)) 0)
(-.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) (+.f64 (exp.f64 (tan.f64 eps)) 1)) (-.f64 (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)) 1))
(-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))) (-.f64 (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) (+.f64 (exp.f64 (tan.f64 eps)) 1))) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2))))) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))))
(*.f64 (exp.f64 (tan.f64 eps)) 1)
(*.f64 1 (exp.f64 (tan.f64 eps)))
(*.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) (sqrt.f64 (exp.f64 (tan.f64 eps))))
(*.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2) (cbrt.f64 (exp.f64 (tan.f64 eps))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps)))) (cbrt.f64 (exp.f64 (tan.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps)))) (cbrt.f64 (exp.f64 (tan.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))))) (*.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2)) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2))) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3))) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2)) 1) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(pow.f64 (exp.f64 (tan.f64 eps)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3)
(pow.f64 (exp.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps)))
(pow.f64 (E.f64) (tan.f64 eps))
(pow.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (tan.f64 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2))
(log.f64 (exp.f64 (exp.f64 (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 eps)))))
(cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (tan.f64 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (tan.f64 eps))))
Outputs
eps
(+.f64 eps (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 eps (*.f64 1/2 (*.f64 eps eps)))
(fma.f64 1/2 (*.f64 eps eps) eps)
(+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 eps 3))))
(+.f64 eps (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 eps 3))))
(fma.f64 1/2 (fma.f64 eps eps (pow.f64 eps 3)) eps)
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eps
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1
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(neg.f64 (*.f64 1 (/.f64 1 (/.f64 -1 (tan.f64 eps)))))
(tan.f64 eps)
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(fabs.f64 (tan.f64 eps))
(log.f64 (exp.f64 (tan.f64 eps)))
(tan.f64 eps)
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(tan.f64 eps)
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(tan.f64 eps)
(exp.f64 (log.f64 (tan.f64 eps)))
(tan.f64 eps)
(tan.f64 eps)
(+.f64 (exp.f64 (tan.f64 eps)) 0)
(exp.f64 (tan.f64 eps))
(+.f64 1 (expm1.f64 (tan.f64 eps)))
(+.f64 (expm1.f64 (tan.f64 eps)) 1)
(+.f64 1 (expm1.f64 (tan.f64 eps)))
(+.f64 0 (exp.f64 (tan.f64 eps)))
(exp.f64 (tan.f64 eps))
(+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -1)
(exp.f64 (tan.f64 eps))
(+.f64 -1 (+.f64 (exp.f64 (tan.f64 eps)) 1))
(exp.f64 (tan.f64 eps))
(-.f64 (exp.f64 (tan.f64 eps)) 0)
(exp.f64 (tan.f64 eps))
(-.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) 1)
(exp.f64 (tan.f64 eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) (+.f64 (exp.f64 (tan.f64 eps)) 1)) (-.f64 (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) (+.f64 1 (exp.f64 (tan.f64 eps)))) (/.f64 1 (+.f64 1 (exp.f64 (tan.f64 eps))))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)) (+.f64 1 (exp.f64 (tan.f64 eps)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))) (-.f64 (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) (+.f64 (+.f64 1 (exp.f64 (tan.f64 eps))) (pow.f64 (exp.f64 (tan.f64 eps)) 2))) (/.f64 1 (+.f64 (+.f64 1 (exp.f64 (tan.f64 eps))) (pow.f64 (exp.f64 (tan.f64 eps)) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) (+.f64 (+.f64 1 (exp.f64 (tan.f64 eps))) (pow.f64 (exp.f64 (tan.f64 eps)) 2))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) (+.f64 (exp.f64 (tan.f64 eps)) 1))) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) 1)))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2) (+.f64 1 (exp.f64 (tan.f64 eps)))) (/.f64 1 (+.f64 1 (exp.f64 (tan.f64 eps))))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)) (+.f64 1 (exp.f64 (tan.f64 eps)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2))))) (/.f64 1 (+.f64 (exp.f64 (tan.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (tan.f64 eps)) 2)))))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) (+.f64 (+.f64 1 (exp.f64 (tan.f64 eps))) (pow.f64 (exp.f64 (tan.f64 eps)) 2))) (/.f64 1 (+.f64 (+.f64 1 (exp.f64 (tan.f64 eps))) (pow.f64 (exp.f64 (tan.f64 eps)) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) (+.f64 (+.f64 1 (exp.f64 (tan.f64 eps))) (pow.f64 (exp.f64 (tan.f64 eps)) 2))))
(*.f64 (exp.f64 (tan.f64 eps)) 1)
(exp.f64 (tan.f64 eps))
(*.f64 1 (exp.f64 (tan.f64 eps)))
(exp.f64 (tan.f64 eps))
(*.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) (sqrt.f64 (exp.f64 (tan.f64 eps))))
(exp.f64 (tan.f64 eps))
(*.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2))
(exp.f64 (tan.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2) (cbrt.f64 (exp.f64 (tan.f64 eps))))
(exp.f64 (tan.f64 eps))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps)))) (cbrt.f64 (exp.f64 (tan.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps)))) (cbrt.f64 (exp.f64 (tan.f64 eps)))))
(exp.f64 (tan.f64 eps))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))))) (*.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) (sqrt.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))))))
(exp.f64 (tan.f64 eps))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))) (cbrt.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2)) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2))) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2)) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3))) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2)) 1) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 2)) (-.f64 2 (exp.f64 (tan.f64 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 2) (expm1.f64 (tan.f64 eps)))))
(pow.f64 (exp.f64 (tan.f64 eps)) 1)
(exp.f64 (tan.f64 eps))
(pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2)
(exp.f64 (tan.f64 eps))
(pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3)
(exp.f64 (tan.f64 eps))
(pow.f64 (exp.f64 (sin.f64 eps)) (/.f64 1 (cos.f64 eps)))
(pow.f64 (E.f64) (tan.f64 eps))
(exp.f64 (tan.f64 eps))
(pow.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3) 1/3)
(exp.f64 (tan.f64 eps))
(pow.f64 (exp.f64 (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(exp.f64 (tan.f64 eps))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2))) (cbrt.f64 (tan.f64 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 2))
(fabs.f64 (exp.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (exp.f64 (tan.f64 eps))))
(exp.f64 (tan.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 eps)))))
(exp.f64 (tan.f64 eps))
(cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3))
(exp.f64 (tan.f64 eps))
(expm1.f64 (log1p.f64 (exp.f64 (tan.f64 eps))))
(exp.f64 (tan.f64 eps))
(log1p.f64 (expm1.f64 (exp.f64 (tan.f64 eps))))
(exp.f64 (tan.f64 eps))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (tan.f64 eps))
✓0.2b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
✓0.2b
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
✓5.1b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 72 to 23 computations (68.1% saved)

series10.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite135.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1514×associate-/r/
922×associate-/l/
342×add-sqr-sqrt
336×pow1
336×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014145
1321133
24706133
Stop Event
1×node limit
Counts
3 → 260
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 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simplify213.0ms (1%)

Algorithm
1×egg-herbie
Rules
1350×associate-*r*
1180×associate-*l*
840×associate-/l*
790×associate-*l/
786×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089931102
1292830976
Stop Event
1×node limit
Counts
332 → 463
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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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 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 -1 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (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 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (neg.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (tan.f64 eps) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1) (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) 1) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) -1) (cbrt.f64 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 2)) (+.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (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)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (-.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2) (*.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 1 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))))) (-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 1 (pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (sqrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (cbrt.f64 (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.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 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)))) (*.f64 (-.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 (tan.f64 x) (-.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))) (-.f64 (tan.f64 x) (tan.f64 eps))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(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 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.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 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
✓0.1b
(fma.f64 (tan.f64 x) (tan.f64 eps) -1)
0.1b
(+.f64 (tan.f64 x) (tan.f64 eps))
✓2.2b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
Compiler

Compiled 48 to 18 computations (62.5% saved)

series8.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite86.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1696×associate-*r/
1380×associate-*l/
652×distribute-lft-in
516×associate-/r*
308×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01493
129789
2381189
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(fma.f64 (tan.f64 x) (tan.f64 eps) -1)
(/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1) 1) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (sqrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (/.f64 -1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))))))

simplify116.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1848×associate-/r*
1782×associate-*r/
890×associate-+r+
864×associate-+l+
646×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034510749
193910361
2413810361
Stop Event
1×node limit
Counts
173 → 214
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 (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 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x)))))) (+.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.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 1/3 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
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(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))) 2)) (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))
(+.f64 -1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)
(+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1) -1)
(+.f64 (*.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 1)
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 1)
(*.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(*.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2) (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(/.f64 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1) 1) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 2))
(log.f64 (exp.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(cbrt.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(exp.f64 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1)
(*.f64 1 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (sqrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (/.f64 -1 (sqrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2)) (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(*.f64 (/.f64 -1 (-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) 1)) (-.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1))))
(pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3) 1/3)
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) -1)
(neg.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))
(sqrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 2))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (/.f64 (-.f64 (/.f64 -1/3 (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (cos.f64 eps)) (sin.f64 eps))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1/3) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (neg.f64 (/.f64 (+.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 (sin.f64 eps) (cos.f64 eps))) -1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)) -1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (neg.f64 (/.f64 (+.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 (sin.f64 eps) (cos.f64 eps))) -1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)) -1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (neg.f64 (/.f64 (+.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 (sin.f64 eps) (cos.f64 eps))) -1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 x)) -1)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) 1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (neg.f64 (/.f64 (+.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 (sin.f64 eps) (cos.f64 eps))) -1))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) (/.f64 (sin.f64 x) (cos.f64 x)))
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(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) 3))
(/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) 1))
(/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
(/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))

eval1.2s (5.5%)

Compiler

Compiled 82395 to 27721 computations (66.4% saved)

prune906.0ms (4.2%)

Pruning

82 alts after pruning (75 fresh and 7 done)

PrunedKeptTotal
New2161452206
Fresh83038
Picked011
Done369
Total2172822254
Error
0.0b
Counts
2254 → 82
Alt Table
Click to see full alt table
StatusErrorProgram
20.8b
(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)))
✓20.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
20.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)) (neg.f64 (tan.f64 x)))
34.4b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
▶49.6b
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
43.7b
(pow.f64 (sqrt.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)
48.2b
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
48.4b
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
45.2b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
21.6b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
27.1b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
54.5b
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
26.6b
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
21.0b
(/.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)))
45.2b
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
✓26.5b
(/.f64 (sin.f64 eps) (cos.f64 eps))
35.0b
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
35.4b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
26.5b
(/.f64 1 (/.f64 1 (tan.f64 eps)))
36.0b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
36.5b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
25.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
✓20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
24.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (expm1.f64 (log1p.f64 (tan.f64 x))))
21.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
36.0b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
20.8b
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
▶21.0b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓21.0b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
61.2b
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
21.0b
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
48.4b
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
29.2b
(-.f64 (/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
20.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
20.8b
(-.f64 (*.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
✓35.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.8b
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
47.7b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
40.4b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
47.3b
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
20.4b
(+.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 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
20.4b
(+.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 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
0.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
▶0.3b
(+.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 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
0.3b
(+.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))))) (neg.f64 (/.f64 (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1))))
12.8b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 eps)) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (tan.f64 x)))
▶32.9b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
26.5b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
32.9b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
42.1b
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
26.4b
(tan.f64 eps)
27.5b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
27.0b
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
42.6b
(log1p.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2) 1))
42.8b
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
✓42.5b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
47.4b
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
42.9b
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
61.3b
(log1p.f64 (-.f64 1 1))
42.6b
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
42.6b
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
45.0b
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
43.7b
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
43.6b
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
36.5b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓35.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
26.9b
(log1p.f64 (expm1.f64 (tan.f64 eps)))
38.5b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
▶45.3b
(log1p.f64 eps)
42.5b
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
42.0b
(log.f64 (exp.f64 (tan.f64 eps)))
48.2b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
44.0b
(fabs.f64 (tan.f64 eps))
40.7b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
31.7b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
45.7b
(exp.f64 (log.f64 (tan.f64 eps)))
37.8b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
45.4b
eps
Compiler

Compiled 2306 to 1579 computations (31.5% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 149 to 50 computations (66.4% saved)

series29.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
20.0ms
x
@inf
(/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))
1.0ms
eps
@0
(/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))
1.0ms
x
@-inf
(/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))
1.0ms
eps
@inf
(/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))
1.0ms
x
@inf
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1))))

rewrite83.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1724×associate-/l*
1574×associate-/r/
1236×associate-/l/
278×add-sqr-sqrt
272×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01372
129072
2381472
Stop Event
1×node limit
Counts
2 → 140
Calls
Call 1
Inputs
(/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) (/.f64 1 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 (sqrt.f64 (tan.f64 eps)) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) (sqrt.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (/.f64 (cbrt.f64 (tan.f64 eps)) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 eps)) (/.f64 1 (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 eps) (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) (/.f64 1 (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 eps) (pow.f64 (cbrt.f64 (-.f64 (/.f64 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simplify153.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
782×associate-*r*
752×associate-/l*
658×*-commutative
626×associate-*l*
592×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052711626
1155811152
2654211148
Stop Event
1×node limit
Counts
188 → 274
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 4))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 x 2) (sin.f64 eps)) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (*.f64 (-.f64 (*.f64 1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (pow.f64 x 4))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (sin.f64 eps)) (cos.f64 eps)))) (pow.f64 x 5))) (*.f64 (-.f64 (*.f64 1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
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(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (cbrt.f64 (tan.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (*.f64 (cbrt.f64 (tan.f64 x)) 1)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cbrt.f64 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (cbrt.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))
(/.f64 (neg.f64 (tan.f64 eps)) (/.f64 (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))) (tan.f64 x)))
(/.f64 (neg.f64 (tan.f64 eps)) (/.f64 (*.f64 (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))) (cos.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (tan.f64 eps))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (cos.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (/.f64 1 (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps))) 1))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 x) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (tan.f64 eps)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x))))) (neg.f64 (tan.f64 eps))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (sqrt.f64 (*.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 eps) (tan.f64 x))) (cbrt.f64 (*.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (cbrt.f64 (*.f64 (tan.f64 eps) (tan.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (sqrt.f64 (tan.f64 eps))) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (sqrt.f64 (tan.f64 eps))))
(/.f64 (*.f64 (tan.f64 x) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (cbrt.f64 (tan.f64 eps))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) 1) (*.f64 (cos.f64 x) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps))))
(/.f64 (*.f64 (sin.f64 x) 1) (*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 1) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cos.f64 x) (/.f64 1 (tan.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cos.f64 x) 1)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x)) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 (/.f64 (tan.f64 x) (/.f64 (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (tan.f64 eps))) (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (/.f64 (tan.f64 eps) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 2) (tan.f64 x))) (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (tan.f64 eps)) (sin.f64 x)) (*.f64 (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))) (cos.f64 x)))
(pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))
Outputs
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (fma.f64 (pow.f64 eps 3) (-.f64 (/.f64 (*.f64 1/3 (sin.f64 x)) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (pow.f64 eps 3) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (sin.f64 x)) (cos.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) (fma.f64 (pow.f64 eps 3) (-.f64 (/.f64 (*.f64 1/3 (sin.f64 x)) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (fma.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 1/3 (sin.f64 x)) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))) (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (pow.f64 eps 3) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (-.f64 (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))))
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (pow.f64 eps 3) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (fma.f64 1/3 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 x x))) (fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3)) (/.f64 x (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(+.f64 (*.f64 (/.f64 x (cos.f64 eps)) (sin.f64 eps)) (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (pow.f64 x 3))))
(+.f64 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (sin.f64 eps)) (cos.f64 eps))) (pow.f64 x 4))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
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(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(/.f64 (*.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x)) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (tan.f64 eps)) (/.f64 (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x))) (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x)))) (neg.f64 (tan.f64 eps)))
(/.f64 (/.f64 (tan.f64 x) (/.f64 (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (tan.f64 eps))) (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (*.f64 (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (/.f64 (sqrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (tan.f64 eps))))
(/.f64 (/.f64 (tan.f64 eps) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 2) (tan.f64 x))) (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 eps) (*.f64 (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 2) (tan.f64 x))))
(/.f64 (/.f64 (tan.f64 eps) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 2)) (/.f64 (cbrt.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (tan.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x)))))
(*.f64 (neg.f64 (tan.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps))) (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (*.f64 (tan.f64 eps) (sqrt.f64 (tan.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (sqrt.f64 (tan.f64 x)) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(*.f64 (sqrt.f64 (tan.f64 x)) (/.f64 (sqrt.f64 (tan.f64 x)) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 eps) (tan.f64 x))) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (tan.f64 eps)) (/.f64 (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x))) (tan.f64 x)))
(*.f64 (/.f64 (tan.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x)))) (neg.f64 (tan.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x)))))
(*.f64 (neg.f64 (tan.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 eps))) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x)))))
(*.f64 (neg.f64 (tan.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x))))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (*.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(/.f64 (*.f64 (neg.f64 (tan.f64 eps)) (sin.f64 x)) (*.f64 (+.f64 (tan.f64 eps) (neg.f64 (/.f64 1 (tan.f64 x)))) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x)))))
(*.f64 (neg.f64 (tan.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (/.f64 -1 (tan.f64 x))))))
(pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 1)
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))) 2)
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))) 3)
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 3) 1/3)
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 2))
(fabs.f64 (/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(fabs.f64 (/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(log.f64 (pow.f64 (exp.f64 (tan.f64 x)) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) 3))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 3)))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))) 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(exp.f64 (log.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))) 1))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))))
(*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1))
(/.f64 (tan.f64 x) (+.f64 -1 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps))))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (tan.f64 eps) 3)
✓22.9b
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
Compiler

Compiled 17 to 11 computations (35.3% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1470×add-sqr-sqrt
1432×*-un-lft-identity
1358×add-cube-cbrt
1348×add-cbrt-cube
1330×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
120016
2194416
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(pow.f64 (tan.f64 eps) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 3/2) (pow.f64 (tan.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 eps) 2) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3) (tan.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 eps) 2)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (tan.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 3)))))))

simplify67.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
808×fma-def
696×associate-/l*
620×associate-/r*
584×distribute-rgt-in
584×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01221475
12731249
27781023
32141953
46556953
Stop Event
1×node limit
Counts
69 → 79
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps 3)
(+.f64 (pow.f64 eps 5) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 88/189 (pow.f64 eps 9)) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3))))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(*.f64 (tan.f64 eps) 1)
(*.f64 1 (tan.f64 eps))
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 1 1/3) (tan.f64 eps))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(log.f64 (exp.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(exp.f64 (log.f64 (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(tan.f64 eps)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1)
(*.f64 (pow.f64 (tan.f64 eps) 3) 1)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))
(*.f64 1 (pow.f64 (tan.f64 eps) 3))
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (pow.f64 (tan.f64 eps) 3/2) (pow.f64 (tan.f64 eps) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (pow.f64 (tan.f64 eps) 2) (tan.f64 eps))
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3) (tan.f64 eps))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 eps) 2)) (cos.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(sqrt.f64 (pow.f64 (tan.f64 eps) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 3)))
(exp.f64 (*.f64 3 (log.f64 (tan.f64 eps))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 3)))
Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(fma.f64 1/3 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (*.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (*.f64 2/15 (pow.f64 eps 5))))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) eps))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (+.f64 (*.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 17/315 (pow.f64 eps 7) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7)))))
(+.f64 (fma.f64 1/3 (pow.f64 eps 3) eps) (fma.f64 2/15 (pow.f64 eps 5) (*.f64 17/315 (pow.f64 eps 7))))
(fma.f64 1/3 (pow.f64 eps 3) (fma.f64 2/15 (pow.f64 eps 5) (fma.f64 17/315 (pow.f64 eps 7) eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps 3)
(+.f64 (pow.f64 eps 5) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (pow.f64 eps 5))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 5) (fma.f64 11/15 (pow.f64 eps 7) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 5)))
(+.f64 (pow.f64 eps 5) (+.f64 (*.f64 88/189 (pow.f64 eps 9)) (+.f64 (*.f64 11/15 (pow.f64 eps 7)) (pow.f64 eps 3))))
(+.f64 (pow.f64 eps 5) (fma.f64 88/189 (pow.f64 eps 9) (fma.f64 11/15 (pow.f64 eps 7) (pow.f64 eps 3))))
(+.f64 (pow.f64 eps 5) (fma.f64 88/189 (pow.f64 eps 9) (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 3))))
(+.f64 (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 5)) (fma.f64 88/189 (pow.f64 eps 9) (pow.f64 eps 3)))
(+.f64 (pow.f64 eps 3) (fma.f64 88/189 (pow.f64 eps 9) (fma.f64 (pow.f64 eps 7) 11/15 (pow.f64 eps 5))))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (tan.f64 eps) 1)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 1 (tan.f64 eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (sqrt.f64 (tan.f64 eps)) (sqrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 2) 1/3) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 1 1/3) (tan.f64 eps))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 3/2)) (cbrt.f64 (pow.f64 (tan.f64 eps) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sqrt.f64 (pow.f64 (tan.f64 eps) 2))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(log.f64 (exp.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(exp.f64 (log.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(tan.f64 eps)
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(+.f64 (tan.f64 eps) 0)
(tan.f64 eps)
(-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (tan.f64 eps) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) 2))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 1 (pow.f64 (tan.f64 eps) 3))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (sqrt.f64 (tan.f64 eps)) (*.f64 (sqrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (tan.f64 eps) 3/2) (pow.f64 (tan.f64 eps) 3/2))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (*.f64 (cbrt.f64 (tan.f64 eps)) (pow.f64 (tan.f64 eps) 2)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (tan.f64 eps) 2) (tan.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) 1) (tan.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sqrt.f64 (tan.f64 eps))) (sqrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2)) (cbrt.f64 (tan.f64 eps)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 eps)) 3) (pow.f64 (sqrt.f64 (tan.f64 eps)) 3))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) 3) (tan.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) 2) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (tan.f64 eps) 2))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 (tan.f64 eps) 2) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 eps) 2)) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (pow.f64 (tan.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (tan.f64 eps) 2))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 (tan.f64 eps) 2) (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3)
(sqrt.f64 (pow.f64 (tan.f64 eps) 6))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(exp.f64 (*.f64 3 (log.f64 (tan.f64 eps))))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 eps))) 1))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1))
(+.f64 (pow.f64 (tan.f64 eps) 3) 0)
(pow.f64 (tan.f64 eps) 3)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (cos.f64 x) 2)
✓0.2b
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
✓0.2b
(pow.f64 (sin.f64 x) 2)
✓4.2b
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
Compiler

Compiled 50 to 27 computations (46% saved)

series6.0ms (0%)

Counts
4 → 36
Calls

15 calls:

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

rewrite97.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1064×*-commutative
1012×associate-/r*
908×associate-*r/
772×associate-/l*
662×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01282
124870
2307970
Stop Event
1×node limit
Counts
4 → 259
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps)
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (/.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 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(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) 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(cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cos.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))))))

simplify131.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1716×times-frac
766×associate-*r*
752×associate-*l*
724×associate-/r*
652×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061410189
114809539
275299539
Stop Event
1×node limit
Counts
295 → 369
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
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(*.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) 1)
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) -2))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))
(*.f64 (pow.f64 (cos.f64 x) -2) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)) (/.f64 (sin.f64 x) 1))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1))
(*.f64 (/.f64 1 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) -2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 1)
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))
(neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 -1 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 1 (*.f64 1/2 (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1))
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(*.f64 (cos.f64 x) (cos.f64 x))
(*.f64 (cos.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 1 (pow.f64 (cos.f64 x) -2))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (cbrt.f64 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 1) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))
(fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4))))
(fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/315 eps) (+.f64 (*.f64 -2/45 eps) (+.f64 (*.f64 -1 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (*.f64 1/3 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)))))) (pow.f64 x 8)) (+.f64 (*.f64 (-.f64 (*.f64 2/45 eps) (+.f64 (*.f64 1/3 eps) (*.f64 -1 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps))))) (pow.f64 x 6)) (+.f64 (*.f64 eps (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 -1/3 eps) (*.f64 -1 eps)) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps -1/315) (fma.f64 -2/45 eps (fma.f64 -1 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (*.f64 (*.f64 eps 2/3) 1/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps 2/45) (fma.f64 1/3 eps (neg.f64 (*.f64 eps 2/3)))) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 (*.f64 eps 2/3) (pow.f64 x 4)))))
(fma.f64 (-.f64 (*.f64 eps 13/315) (-.f64 (*.f64 eps 2/9) (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)))) (pow.f64 x 8) (fma.f64 (-.f64 (*.f64 eps -13/45) (*.f64 eps -2/3)) (pow.f64 x 6) (fma.f64 eps (*.f64 x x) (*.f64 eps (*.f64 (pow.f64 x 4) 2/3)))))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 eps (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))
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(*.f64 (cos.f64 x) (cos.f64 x))
(pow.f64 (cos.f64 x) 2)
(*.f64 (cos.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (pow.f64 (cos.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 x))
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (cos.f64 x) (/.f64 1 (cos.f64 x)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(/.f64 1 (pow.f64 (cos.f64 x) -2))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x)))))
(pow.f64 (cos.f64 x) 2)
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 4)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 2)
(/.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x)))) 2)
(/.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) 1) 2)
(/.f64 (+.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 x x))))
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))
(pow.f64 (cos.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
✓0.2b
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
✓0.3b
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
✓5.1b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Compiler

Compiled 86 to 39 computations (54.7% saved)

series5.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite120.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1624×associate-/l/
1222×distribute-lft-in
374×add-sqr-sqrt
368×pow1
368×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015184
1351148
25255148
Stop Event
1×node limit
Counts
4 → 231
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))
Outputs
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simplify205.0ms (1%)

Algorithm
1×egg-herbie
Rules
1088×associate-*r*
916×associate-*l*
810×*-commutative
724×associate-/l*
628×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078224365
1231123983
Stop Event
1×node limit
Counts
327 → 409
Calls
Call 1
Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))
(+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 1/3 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x)) (cos.f64 x))) (+.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1/3 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 eps (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 (pow.f64 eps 3) (-.f64 1/3 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (cos.f64 x) 4))) (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 2/15 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 2/15 (/.f64 (*.f64 (pow.f64 eps 5) (sin.f64 x)) (cos.f64 x))) (+.f64 (*.f64 17/315 (/.f64 (*.f64 (pow.f64 eps 7) (sin.f64 x)) (cos.f64 x))) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
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(+.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (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) 2) (pow.f64 (tan.f64 eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 eps))) (pow.f64 (cbrt.f64 (tan.f64 eps)) 2) (tan.f64 eps))))
(+.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(+.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 1 (neg.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(+.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(+.f64 (*.f64 (/.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 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps))) 1)))
(+.f64 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)))) (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) 1))
(+.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (tan.f64 x)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (neg.f64 (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (pow.f64 (tan.f64 x) 2)) (*.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 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(+.f64 (*.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 (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))) (pow.f64 (tan.f64 x) 2)))
(-.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (+.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))) 1)
(*.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 1 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 eps) 2))) (-.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(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 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.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))))
(fma.f64 -1 (*.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4))))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) x)))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.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 (neg.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)))) (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))))) (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 1 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (sin.f64 x) (cos.f64 x))))
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(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 eps) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) 2) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.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 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 3)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3) 1/3)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) 3))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) 3) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 3)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) 1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))

eval687.0ms (3.2%)

Compiler

Compiled 43323 to 17895 computations (58.7% saved)

prune693.0ms (3.2%)

Pruning

92 alts after pruning (82 fresh and 10 done)

PrunedKeptTotal
New1321251346
Fresh135770
Picked011
Done2911
Total1336921428
Error
0.0b
Counts
1428 → 92
Alt Table
Click to see full alt table
StatusErrorProgram
20.8b
(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)))
✓20.8b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
34.4b
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
48.1b
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
✓49.6b
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
59.2b
(pow.f64 (pow.f64 eps 3) 1/3)
52.5b
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
52.5b
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
48.2b
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
45.2b
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
53.3b
(pow.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))) 1/3)
21.6b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
27.1b
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
54.5b
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
26.6b
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
21.0b
(/.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)))
✓26.5b
(/.f64 (sin.f64 eps) (cos.f64 eps))
26.6b
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
35.4b
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
26.5b
(/.f64 1 (/.f64 1 (tan.f64 eps)))
36.0b
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
36.5b
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
25.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
✓20.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
24.8b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (expm1.f64 (log1p.f64 (tan.f64 x))))
21.6b
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
61.3b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
36.0b
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
20.8b
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
20.9b
(-.f64 (/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
✓21.0b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓21.0b
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
61.2b
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
21.0b
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
48.4b
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
29.2b
(-.f64 (/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
42.1b
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
20.8b
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (tan.f64 x))
20.8b
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
✓35.3b
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
36.8b
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
47.7b
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
40.4b
(-.f64 (expm1.f64 (log1p.f64 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
1.2b
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 eps)) 3) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
0.3b
(+.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 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
0.3b
(+.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 1 (/.f64 (/.f64 (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x))))
0.3b
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
12.8b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 eps)) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (tan.f64 x)))
48.3b
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
32.9b
(+.f64 eps (/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
32.9b
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
48.3b
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
32.9b
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
33.0b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
44.7b
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
32.9b
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
32.9b
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
48.1b
(+.f64 eps (*.f64 eps (*.f64 x x)))
32.9b
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
42.0b
(+.f64 1 (-.f64 (tan.f64 eps) 1))
26.5b
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
32.9b
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
42.1b
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
26.4b
(tan.f64 eps)
27.5b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
27.0b
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
42.8b
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
✓42.5b
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
47.4b
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
42.9b
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
61.3b
(log1p.f64 (-.f64 1 1))
42.6b
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
42.6b
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
45.0b
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
43.7b
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
43.6b
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
36.5b
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
✓35.8b
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
26.9b
(log1p.f64 (expm1.f64 (tan.f64 eps)))
38.5b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
✓45.3b
(log1p.f64 eps)
42.5b
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
42.0b
(log.f64 (exp.f64 (tan.f64 eps)))
48.2b
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
44.0b
(fabs.f64 (tan.f64 eps))
40.7b
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
31.7b
(expm1.f64 (log1p.f64 (tan.f64 eps)))
37.8b
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
45.4b
eps
Compiler

Compiled 1288 to 905 computations (29.7% saved)

regimes317.0ms (1.5%)

Counts
142 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
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(+.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 (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 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3) 3) (pow.f64 (pow.f64 (tan.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))))) (+.f64 (+.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)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) 3)))))
Outputs
(+.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 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
Calls

3 calls:

135.0ms
eps
85.0ms
x
51.0ms
(-.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 2184 to 855 computations (60.9% saved)

regimes272.0ms (1.3%)

Counts
130 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
(pow.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))) 1/3)
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
(log1p.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(+.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 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)))) (tan.f64 x))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (log1p.f64 (expm1.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (expm1.f64 (log1p.f64 (tan.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))) 3)
(-.f64 (/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 eps)) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (-.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) 1)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sqrt.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (tan.f64 eps) (tan.f64 eps))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (*.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 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (tan.f64 x) (+.f64 (/.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)) -1)))
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) 1)) (-.f64 1 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) 2))))) (tan.f64 x))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 eps (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(+.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 eps (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) 3))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
Outputs
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
Calls

3 calls:

103.0ms
x
93.0ms
eps
36.0ms
(-.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 1680 to 696 computations (58.6% saved)

regimes797.0ms (3.7%)

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

3 calls:

379.0ms
x
257.0ms
eps
128.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
9.5b5x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1300 to 569 computations (56.2% saved)

bsearch120.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
2.047366207884718e-17
1.6099160354291555e-14
76.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
45.0ms92×body1024valid
40.0ms36×body512valid
22.0ms145×body256valid
9.0ms15×body2048valid
Compiler

Compiled 734 to 496 computations (32.4% saved)

regimes480.0ms (2.2%)

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

3 calls:

194.0ms
x
178.0ms
eps
80.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.0b4x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1136 to 513 computations (54.8% saved)

bsearch81.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
2.047366207884718e-17
1.6099160354291555e-14
46.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
35.0ms173×body256valid
31.0ms87×body1024valid
5.0ms21×body512valid
4.0ms7×body2048valid
Compiler

Compiled 736 to 498 computations (32.3% saved)

regimes630.0ms (2.9%)

Counts
106 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
(pow.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))) 1/3)
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
(log1p.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(pow.f64 (sqrt.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(+.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 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) -1) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))
Calls

3 calls:

275.0ms
x
188.0ms
eps
134.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.0b4x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1081 to 497 computations (54% saved)

bsearch104.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
62.0ms
2.047366207884718e-17
1.6099160354291555e-14
41.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
45.0ms167×body256valid
30.0ms83×body1024valid
9.0ms12×body2048valid
7.0ms26×body512valid
Compiler

Compiled 716 to 478 computations (33.2% saved)

regimes589.0ms (2.8%)

Counts
100 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
(pow.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))) 1/3)
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
(log1p.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 (tan.f64 x) (tan.f64 eps))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (tan.f64 x) (/.f64 1 (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))
Calls

3 calls:

274.0ms
x
148.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
141.0ms
eps
Results
ErrorSegmentsBranch
12.2b5x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 978 to 456 computations (53.4% saved)

bsearch69.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
2.047366207884718e-17
1.6099160354291555e-14
39.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
27.0ms76×body1024valid
24.0ms178×body256valid
7.0ms25×body512valid
5.0ms9×body2048valid
Compiler

Compiled 732 to 494 computations (32.5% saved)

regimes461.0ms (2.2%)

Counts
95 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
(pow.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))) 1/3)
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
(log1p.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps))) (tan.f64 x))
Calls

3 calls:

201.0ms
x
145.0ms
eps
92.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.2b5x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 884 to 420 computations (52.5% saved)

bsearch72.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
2.047366207884718e-17
1.6099160354291555e-14
39.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
27.0ms71×body1024valid
22.0ms168×body256valid
11.0ms39×body512valid
6.0ms10×body2048valid
Compiler

Compiled 732 to 494 computations (32.5% saved)

regimes389.0ms (1.8%)

Counts
93 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
(pow.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))) 1/3)
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
(log1p.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Outputs
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
Calls

3 calls:

192.0ms
x
112.0ms
eps
63.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
12.2b5x
0.2b3eps
9.1b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 848 to 408 computations (51.9% saved)

bsearch72.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
2.047366207884718e-17
1.6099160354291555e-14
40.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
31.0ms88×body1024valid
24.0ms165×body256valid
6.0ms11×body2048valid
6.0ms24×body512valid
Compiler

Compiled 716 to 478 computations (33.2% saved)

regimes286.0ms (1.3%)

Counts
92 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (+.f64 x eps))))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3) 1/3)
(+.f64 eps (pow.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sqrt.f64 eps)) 2))
(-.f64 (/.f64 1 (sqrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) -2))) (tan.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) eps))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (/.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))
(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (tan.f64 eps)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (tan.f64 eps)) 3)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (tan.f64 eps))) 3))
(log1p.f64 (log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (tan.f64 eps))))))
(pow.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 eps) 3))) 1/3)
(log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 eps)) 3)) 1))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 eps))) 3) 1))
(log1p.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (tan.f64 eps))) 2) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)) 1))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 eps) 2)) (cbrt.f64 (/.f64 1 (tan.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (neg.f64 (cos.f64 eps)))) (sqrt.f64 (neg.f64 (cos.f64 eps))))
Outputs
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x)))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
Calls

3 calls:

102.0ms
eps
99.0ms
x
63.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
15.7b3x
13.8b3eps
14.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 832 to 403 computations (51.6% saved)

bsearch68.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
2.047366207884718e-17
1.6099160354291555e-14
36.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
24.0ms71×body1024valid
22.0ms170×body256valid
9.0ms16×body2048valid
8.0ms31×body512valid
Compiler

Compiled 592 to 434 computations (26.7% saved)

regimes203.0ms (0.9%)

Counts
67 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(+.f64 eps (*.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (*.f64 eps (pow.f64 (cos.f64 x) -2))))
(+.f64 eps (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)) (pow.f64 (cos.f64 x) 2)) eps))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)) eps))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 eps)))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2)
(pow.f64 (pow.f64 (pow.f64 (tan.f64 eps) 3/2) 1/6) 4)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log.f64 (exp.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1))
(-.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 eps x)) (expm1.f64 (log1p.f64 (tan.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 eps)) (/.f64 1 (sqrt.f64 (tan.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (tan.f64 (+.f64 x eps)) 3)) (tan.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (tan.f64 (+.f64 x eps))) 3) (tan.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 x eps))) 2) (tan.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) 2)
Outputs
(tan.f64 eps)
(+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
Calls

3 calls:

73.0ms
x
73.0ms
eps
43.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
15.7b3x
13.8b3eps
14.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 569 to 274 computations (51.8% saved)

bsearch66.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
2.047366207884718e-17
1.6099160354291555e-14
36.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
23.0ms181×body256valid
22.0ms65×body1024valid
8.0ms15×body2048valid
8.0ms27×body512valid
Compiler

Compiled 512 to 384 computations (25% saved)

regimes164.0ms (0.8%)

Counts
43 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
Outputs
(tan.f64 eps)
(+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
Calls

3 calls:

77.0ms
eps
47.0ms
x
30.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
15.8b3x
13.9b3eps
14.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 321 to 173 computations (46.1% saved)

bsearch65.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
2.047366207884718e-17
1.6099160354291555e-14
36.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
24.0ms72×body1024valid
23.0ms176×body256valid
8.0ms15×body2048valid
6.0ms25×body512valid
Compiler

Compiled 476 to 366 computations (23.1% saved)

regimes158.0ms (0.7%)

Counts
42 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
Outputs
(tan.f64 eps)
(+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
Calls

3 calls:

72.0ms
eps
49.0ms
x
28.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
15.8b3x
13.9b3eps
14.6b3(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 306 to 165 computations (46.1% saved)

bsearch66.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
2.047366207884718e-17
1.6099160354291555e-14
34.0ms
-4.454170057117736e-7
-2.4340638852438936e-25
Results
26.0ms184×body256valid
20.0ms58×body1024valid
10.0ms18×body2048valid
7.0ms28×body512valid
Compiler

Compiled 404 to 294 computations (27.2% saved)

regimes52.0ms (0.2%)

Counts
40 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
(tan.f64 eps)
(log1p.f64 (-.f64 1 1))
(+.f64 1 (-.f64 (tan.f64 eps) 1))
(-.f64 (+.f64 1 (tan.f64 eps)) 1)
(/.f64 1 (/.f64 1 (tan.f64 eps)))
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fabs.f64 (tan.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (pow.f64 eps 3) 1/3)
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 eps (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) eps))
(-.f64 (/.f64 1 (/.f64 1 (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x)) eps))
(exp.f64 (log.f64 (tan.f64 eps)))
(expm1.f64 (log1p.f64 (tan.f64 eps)))
(log.f64 (exp.f64 (tan.f64 eps)))
(log1p.f64 (expm1.f64 (tan.f64 eps)))
(cbrt.f64 (pow.f64 (tan.f64 eps) 3))
(pow.f64 (cbrt.f64 (tan.f64 eps)) 3)
(pow.f64 (sqrt.f64 (tan.f64 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 eps))) 1)
(pow.f64 (pow.f64 (tan.f64 eps) 3) 1/3)
(fabs.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(log1p.f64 (+.f64 (+.f64 -1 (expm1.f64 (tan.f64 eps))) 1))
(log1p.f64 (+.f64 (+.f64 (exp.f64 (tan.f64 eps)) 1) -2))
(log1p.f64 (/.f64 1 (/.f64 1 (expm1.f64 (tan.f64 eps)))))
(-.f64 (fabs.f64 (tan.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 x))
(pow.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 eps) 3) 1)) 1/3)
(pow.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 eps) 3)) 1) 1/3)
Outputs
(tan.f64 eps)
Calls

3 calls:

17.0ms
eps
17.0ms
x
10.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
ErrorSegmentsBranch
26.4b1x
26.4b1eps
26.4b1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 281 to 155 computations (44.8% saved)

regimes7.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 eps (*.f64 x x)))
(log1p.f64 eps)
Outputs
(log1p.f64 eps)
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
45.3b1x
45.3b1eps
Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes26.0ms (0.1%)

Accuracy

Total -2.9b remaining (-6.4%)

Threshold costs -2.9b (-6.4%)

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

2 calls:

22.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
45.4b1x
45.4b1eps
Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify36.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
72×+-commutative
46×sub-neg
46×*-commutative
30×neg-sub0
28×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061517
11591515
22051515
32351511
42541511
52621511
62641511
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.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 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
(if (<=.f64 eps -2780529385113647/604462909807314587353088) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(if (<=.f64 eps -7495340081610701/2417851639229258349412352) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(if (<=.f64 eps -2780529385113647/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))))
(if (<=.f64 eps -2780529385113647/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.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 -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -1983393922805251/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(tan.f64 eps)
(log1p.f64 eps)
eps
Outputs
(+.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 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
(+.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 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))))
(+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 eps) 1)))))
(+.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 eps) (-.f64 (/.f64 1 (tan.f64 x)) (tan.f64 eps)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))))
(if (<=.f64 eps -2780529385113647/604462909807314587353088) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x)))))
(if (or (<=.f64 eps -2780529385113647/604462909807314587353088) (not (<=.f64 eps 2535301200456459/158456325028528675187087900672))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (neg.f64 (tan.f64 x))) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(if (<=.f64 eps -3022314549036573/604462909807314587353088) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) -1)) (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.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 -7495340081610701/2417851639229258349412352) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x))))
(if (or (<=.f64 eps -7495340081610701/2417851639229258349412352) (not (<=.f64 eps 2535301200456459/158456325028528675187087900672))) (-.f64 (/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))))
(if (or (<=.f64 eps -7495340081610701/2417851639229258349412352) (not (<=.f64 eps 2535301200456459/158456325028528675187087900672))) (-.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) -1)) (tan.f64 x)) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))))
(if (<=.f64 eps -2780529385113647/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (/.f64 (tan.f64 eps) (/.f64 1 (tan.f64 x))))) (tan.f64 x))))
(if (<=.f64 eps -2780529385113647/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.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 -2780529385113647/1208925819614629174706176) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.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 -7737125245533627/2417851639229258349412352) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))))
(if (or (<=.f64 eps -7737125245533627/2417851639229258349412352) (not (<=.f64 eps 2535301200456459/158456325028528675187087900672))) (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) 1 (neg.f64 (tan.f64 x))) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) (/.f64 (pow.f64 (cos.f64 x) 2) eps)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (/.f64 (*.f64 eps -1) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (/.f64 (neg.f64 eps) (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -519460313115661/1180591620717411303424) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (-.f64 eps (/.f64 eps (/.f64 -1 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -1983393922805251/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) eps)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -1983393922805251/4722366482869645213696) (tan.f64 eps) (if (<=.f64 eps 2535301200456459/158456325028528675187087900672) (+.f64 eps (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(tan.f64 eps)
(log1p.f64 eps)
eps
Compiler

Compiled 537 to 337 computations (37.2% saved)

soundness336.0ms (1.6%)

Algorithm
4×egg-herbie
Rules
1716×times-frac
1328×associate-*r*
1154×associate-/l*
1034×associate-*l*
1032×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054613904
1157013404
2730513404
082126886
1238726678
056515950
1167115194
061410189
114809539
275299539
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 418 to 202 computations (51.7% saved)

end178.0ms (0.8%)

Compiler

Compiled 509 to 227 computations (55.4% saved)

Profiling

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