Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

Details

Time bar (total: 10.7s)

analyze313.0ms (2.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.1s (28.8%)

Results
1.2s2032×body1024valid
1.2s5187×body256valid
594.0ms1032×body512valid
5.0msbody2048valid
Bogosity

preprocess18.0ms (0.2%)

Algorithm
egg-herbie
Rules
20×*-commutative
16×associate-/l*
16×associate-/r/
14×associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative
16×associate-/l*
16×associate-/r/
14×associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
Stop Event
saturated
Counts
1 → 5
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))

eval2.0ms (0%)

Compiler

Compiled 73 to 54 computations (26% saved)

prune5.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New145
Fresh011
Picked000
Done000
Total156
Accurracy
99.6%
Counts
6 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
79.4%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
79.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
99.3%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
79.4%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
79.4%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
79.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
99.3%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 124 to 100 computations (19.4% saved)

localize617.0ms (5.8%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
99.5%
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
79.7%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
99.6%
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
99.6%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
79.7%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
99.6%
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
99.5%
(/.f64 8/3 (sin.f64 x))
79.8%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
99.5%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 185 to 132 computations (28.6% saved)

series9.0ms (0.1%)

Counts
12 → 136
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
1.0ms
x
@-inf
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
1.0ms
x
@0
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
1.0ms
x
@0
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
0.0ms
x
@-inf
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

rewrite151.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1360×prod-diff
670×expm1-udef
664×log1p-udef
414×fma-def
412×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023288
1482288
25575288
Stop Event
node limit
Counts
12 → 420
Calls
Call 1
Inputs
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 8/3 (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 -8/3 (neg.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 -1 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 -8/3 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) -8/3) (*.f64 2 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)
(/.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1)
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) (sin.f64 x))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
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(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))

simplify197.0ms (1.8%)

Algorithm
egg-herbie
Rules
1128×associate-*r*
1050×associate-*l*
850×log-prod
682×associate-/l*
422×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059917498
1147814616
2706114616
Stop Event
node limit
Counts
556 → 375
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 x)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 1 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 8/3))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 1) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 x 1/4))
(fma.f64 x 1/4 (*.f64 (pow.f64 x 3) 1/48))
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 x 1/4)))
(fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x 1/4 (*.f64 (pow.f64 x 5) 1/480)))
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))))
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1/2
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(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 2/3 x)
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(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
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(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (*.f64 512/27 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 512/27) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))) 1))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(pow.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(cbrt.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (*.f64 512/27 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 512/27 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (*.f64 512/27 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 512/27 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))))
(expm1.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(exp.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(log1p.f64 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))

eval147.0ms (1.4%)

Compiler

Compiled 6998 to 5030 computations (28.1% saved)

prune97.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New39819417
Fresh000
Picked404
Done000
Total40219421
Accurracy
100.0%
Counts
421 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
52.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
52.5%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
52.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
79.4%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
52.6%
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
52.5%
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))) (sin.f64 x))
31.5%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
52.7%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
79.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
52.6%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
31.2%
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
52.7%
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
98.3%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
50.7%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 1/2 (*.f64 1/16 (*.f64 x x)))))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
50.8%
(*.f64 2/3 x)
51.6%
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
79.4%
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
52.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
52.5%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
52.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
79.4%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
52.6%
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
52.5%
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))) (sin.f64 x))
31.5%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
52.7%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
79.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
52.6%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
31.2%
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
52.7%
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
98.3%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
50.7%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 1/2 (*.f64 1/16 (*.f64 x x)))))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
50.8%
(*.f64 2/3 x)
51.6%
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
Compiler

Compiled 952 to 784 computations (17.6% saved)

localize819.0ms (7.6%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
99.6%
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
99.5%
(/.f64 8/3 (sin.f64 x))
79.8%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
99.6%
(*.f64 (sin.f64 x) 3/8)
79.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
73.3%
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
99.8%
(*.f64 (cos.f64 x) -4/3)
79.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
73.0%
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
99.6%
(*.f64 2/3 x)
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
99.7%
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
99.7%
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
Compiler

Compiled 142 to 88 computations (38% saved)

series11.0ms (0.1%)

Counts
12 → 124
Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
1.0ms
x
@-inf
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
1.0ms
x
@inf
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
1.0ms
x
@-inf
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
1.0ms
x
@-inf
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)

rewrite101.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
656×add-sqr-sqrt
622×pow1
620×*-un-lft-identity
612×add-exp-log
612×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030264
1664248
Stop Event
node limit
Counts
12 → 289
Calls
Call 1
Inputs
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 2/3 x)
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 (cos.f64 x) -4/3)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -3/8)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)
(pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -1)
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -8/3))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(*.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 1 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)) 2) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)) 2)
(pow.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)))
(exp.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1)
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (-.f64 (+.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (*.f64 -16/9 (cos.f64 x)))))
(*.f64 (-.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (*.f64 -16/9 (cos.f64 x))) (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3)))))
(/.f64 1 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (-.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2))))
(/.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (*.f64 -16/9 (cos.f64 x))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (-.f64 (+.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (*.f64 -16/9 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (+.f64 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3)) 64/27) (+.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2) (-.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) 4/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2) 16/9) (-.f64 (*.f64 (cos.f64 x) -4/3) 4/3))
(pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 4/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
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(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
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(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) 1)
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(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 3)
(pow.f64 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) -4/3))))
(cbrt.f64 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3)))
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(*.f64 1 (fma.f64 (cos.f64 x) -1/2 1/2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
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(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
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(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (-.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3)) 1/8) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 (*.f64 (cos.f64 x) -1/2) 1/2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (-.f64 (*.f64 (cos.f64 x) -1/2) 1/2))
(pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2))
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(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3))
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(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 1 (*.f64 (cos.f64 x) -1/2) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (cos.f64 x) -1/2)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))) 1)
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(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 2)) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3/8))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 3/8))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) 3/8) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 3/8))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 3/8) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (*.f64 (sin.f64 x) -3/8)))
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(log.f64 (pow.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
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(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(/.f64 (sin.f64 x) 8/3)
(/.f64 1 (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) -8/3)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
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(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
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(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))

simplify162.0ms (1.5%)

Algorithm
egg-herbie
Rules
1858×log-prod
742×associate-*r*
674×associate-*l*
638×times-frac
544×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075711101
1177310801
2708710785
Stop Event
node limit
Counts
413 → 442
Calls
Call 1
Inputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (*.f64 (sin.f64 x) -3/8)))
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(/.f64 (sin.f64 x) 8/3)
(/.f64 1 (/.f64 8/3 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) -8/3)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
Outputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 -3/32 (*.f64 x x)))
(fma.f64 -3/32 (*.f64 x x) 3/4)
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))
(fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x))))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4)))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 2)
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(fma.f64 (pow.f64 x 4) 1/192 (fma.f64 (*.f64 x x) -1/4 2))
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/23040))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/192 (fma.f64 (*.f64 x x) -1/4 2)) (*.f64 (pow.f64 x 6) -1/23040))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) 2/3)
(*.f64 x (*.f64 x 2/3))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) 2/3))
(fma.f64 (*.f64 x x) 2/3 (*.f64 (pow.f64 x 4) -1/18))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/540)))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (*.f64 x x) 2/3 (*.f64 (pow.f64 x 6) 1/540)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/540))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (*.f64 x x) 2/3 (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/540))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
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(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 1))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 3/8 (sin.f64 x))
(/.f64 (sin.f64 x) 8/3)
(/.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) -8/3)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 3/8 (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 3/8 (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (pow.f64 (*.f64 3/8 (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(*.f64 3/8 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 3/8 (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 3/8 (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(*.f64 3/8 (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) 1)
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (neg.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1)
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 3)
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3) 1/3)
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (/.f64 8/3 (sin.f64 x)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 2))
(fabs.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(cbrt.f64 (*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2)))))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x 1))) 2)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

eval160.0ms (1.5%)

Compiler

Compiled 7667 to 5472 computations (28.6% saved)

prune98.0ms (0.9%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New4705475
Fresh6814
Picked055
Done000
Total47618494
Accurracy
100.0%
Counts
494 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
79.5%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
52.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
52.5%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
52.1%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3))
52.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
52.6%
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
52.5%
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))) (sin.f64 x))
99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
55.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
52.7%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
99.5%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
79.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
52.6%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
52.7%
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
50.7%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 1/2 (*.f64 1/16 (*.f64 x x)))))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
50.8%
(*.f64 2/3 x)
52.7%
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
79.5%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
52.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
52.5%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
52.1%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3))
52.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
52.6%
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
52.5%
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))) (sin.f64 x))
99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
55.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
52.7%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
99.5%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
79.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
52.6%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
52.7%
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
50.7%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 1/2 (*.f64 1/16 (*.f64 x x)))))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
50.8%
(*.f64 2/3 x)
Compiler

Compiled 750 to 626 computations (16.5% saved)

localize894.0ms (8.3%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
99.5%
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
99.5%
(*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))
79.8%
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))
73.3%
(fma.f64 (cos.f64 x) -1/2 1/2)
99.7%
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
99.5%
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
79.8%
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
73.3%
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
99.7%
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
79.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
73.3%
(-.f64 1 (cos.f64 x))
100.0%
(tan.f64 (/.f64 x 2))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
99.7%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
Compiler

Compiled 179 to 111 computations (38% saved)

series14.0ms (0.1%)

Counts
14 → 152
Calls

42 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
1.0ms
x
@-inf
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
1.0ms
x
@inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
1.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
1.0ms
x
@inf
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)

rewrite113.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
698×add-sqr-sqrt
660×pow1
658×*-un-lft-identity
650×add-exp-log
650×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036318
1812302
Stop Event
node limit
Counts
14 → 357
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(tan.f64 (/.f64 x 2))
(-.f64 1 (cos.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))
(*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
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(/.f64 3/8 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (*.f64 3/8 (sin.f64 x))))
(/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(/.f64 (neg.f64 (*.f64 3/8 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(exp.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 1 (/.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 1))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 -1 (neg.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 -8/3 (neg.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))

simplify127.0ms (1.2%)

Algorithm
egg-herbie
Rules
964×associate-*r*
810×associate-*l*
718×associate-/l*
590×times-frac
490×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081913227
1193512827
Stop Event
node limit
Counts
509 → 476
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(/.f64 4 x)
(+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/180 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1/180 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 -1/7560 (pow.f64 x 5)) (*.f64 4 (/.f64 1 x)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 1/4 x)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(/.f64 4 x)
(+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/180 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 -1/180 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (+.f64 (*.f64 -1/7560 (pow.f64 x 5)) (*.f64 4 (/.f64 1 x)))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 3/2 x)
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
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(/.f64 3/8 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (*.f64 3/8 (sin.f64 x))))
(/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(/.f64 (neg.f64 (*.f64 3/8 (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(exp.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 1 (/.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 1))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 -1 (neg.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 -8/3 (neg.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 7) 17/40320 (*.f64 (pow.f64 x 3) 1/24))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
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(*.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 8/3)
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2))))
(*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))) 2)) (/.f64 1 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)))) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(pow.f64 (sqrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))) -2)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)))) -2)
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)) 1))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 -8/3 (neg.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 1))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))

eval258.0ms (2.4%)

Compiler

Compiled 9419 to 6729 computations (28.6% saved)

prune166.0ms (1.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New57011581
Fresh628
Picked325
Done235
Total58118599
Accurracy
100.0%
Counts
599 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(pow.f64 (/.f64 3/2 x) -1)
52.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
52.5%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
52.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
52.6%
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
99.3%
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
55.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
52.7%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
52.6%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
52.7%
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (neg.f64 (sin.f64 x))))
50.8%
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
51.3%
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
52.7%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
99.4%
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
50.8%
(*.f64 2/3 x)
44.2%
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
98.4%
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
50.8%
(pow.f64 (/.f64 3/2 x) -1)
52.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
52.5%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
52.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
52.6%
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
99.3%
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
55.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
52.7%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
52.6%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
52.7%
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (neg.f64 (sin.f64 x))))
50.8%
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
51.3%
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
52.7%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
99.4%
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
50.8%
(*.f64 2/3 x)
44.2%
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
98.4%
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
Compiler

Compiled 626 to 526 computations (16% saved)

localize1.3s (12.1%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
99.7%
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
99.5%
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
99.5%
(/.f64 4/3 (neg.f64 (sin.f64 x)))
79.8%
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (neg.f64 (sin.f64 x))))
73.3%
(+.f64 (cos.f64 x) -1)
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
99.7%
(/.f64 1 (/.f64 4 x))
99.6%
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
99.8%
(/.f64 1 (cos.f64 (*.f64 x 1/2)))
99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
99.5%
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
Compiler

Compiled 142 to 103 computations (27.5% saved)

series7.0ms (0.1%)

Counts
11 → 132
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (neg.f64 (sin.f64 x))))
1.0ms
x
@-inf
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (neg.f64 (sin.f64 x))))
0.0ms
x
@inf
(/.f64 4/3 (neg.f64 (sin.f64 x)))
0.0ms
x
@inf
(/.f64 1 (cos.f64 (*.f64 x 1/2)))
0.0ms
x
@-inf
(/.f64 4/3 (neg.f64 (sin.f64 x)))

rewrite204.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
580×prod-diff
566×add-sqr-sqrt
536×pow1
536×*-un-lft-identity
530×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029221
1630159
27495159
Stop Event
node limit
Counts
11 → 341
Calls
Call 1
Inputs
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (cos.f64 (*.f64 x 1/2)))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 4 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(+.f64 (cos.f64 x) -1)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (neg.f64 (sin.f64 x))))
(/.f64 4/3 (neg.f64 (sin.f64 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 1 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 -1 (*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 -1 (neg.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 -4/3 (neg.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -1) (*.f64 3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1) (*.f64 -3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3)) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) -1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) -3/4)
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3))
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))

simplify168.0ms (1.6%)

Algorithm
egg-herbie
Rules
1386×log-prod
1000×associate-*r*
992×associate-*l*
776×associate-/l*
510×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073110823
1173010507
2757510467
Stop Event
node limit
Counts
473 → 434
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 61/46080 (pow.f64 x 6)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4)))))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 1/4 x)
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7)))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(/.f64 -4/3 x)
(-.f64 (*.f64 -2/9 x) (*.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -7/270 (pow.f64 x 3)) (*.f64 -2/9 x)) (*.f64 4/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -7/270 (pow.f64 x 3)) (+.f64 (*.f64 -2/9 x) (*.f64 -31/11340 (pow.f64 x 5)))) (*.f64 4/3 (/.f64 1 x)))
(/.f64 -4/3 (sin.f64 x))
(/.f64 -4/3 (sin.f64 x))
(/.f64 -4/3 (sin.f64 x))
(/.f64 -4/3 (sin.f64 x))
(/.f64 -4/3 (sin.f64 x))
(/.f64 -4/3 (sin.f64 x))
(/.f64 -4/3 (sin.f64 x))
(/.f64 -4/3 (sin.f64 x))
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7)))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 1 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 -1 (*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 -1 (neg.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 -4/3 (neg.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -1) (*.f64 3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1) (*.f64 -3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
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(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (+.f64 (cos.f64 x) 1))
(/.f64 (*.f64 -4/3 (+.f64 (cos.f64 x) -1)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) -1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 4/3 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))) (+.f64 (cos.f64 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (+.f64 (cos.f64 x) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1)
(*.f64 4/3 (/.f64 1 (sin.f64 x)))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (/.f64 16/9 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 16/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 -4/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 x) 3/4) -1)
(sqrt.f64 (/.f64 16/9 (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) 1))
(/.f64 -1 (neg.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 3/4 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -3/4)
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) 3/4)
(pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3))
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(fma.f64 1/8 (*.f64 x x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4))))
(+.f64 (fma.f64 1/8 (*.f64 x x) 1) (*.f64 5/384 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 5/384 (pow.f64 x 4) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 61/46080 (pow.f64 x 6)) (+.f64 1 (*.f64 5/384 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 61/46080 (pow.f64 x 6) (+.f64 1 (*.f64 5/384 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 61/46080 (pow.f64 x 6) (fma.f64 5/384 (pow.f64 x 4) 1)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
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(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 4/3 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 4/3)
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))))
(*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) -1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (*.f64 64/27 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) (/.f64 1 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 64/27) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (*.f64 64/27 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) (/.f64 1 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 64/27) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))

eval301.0ms (2.8%)

Compiler

Compiled 5896 to 4482 computations (24% saved)

prune88.0ms (0.8%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New4268434
Fresh628
Picked325
Done145
Total43616452
Accurracy
100.0%
Counts
452 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(pow.f64 (/.f64 3/2 x) -1)
52.7%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
99.7%
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
52.7%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
99.3%
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
99.7%
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
50.7%
(/.f64 8/3 (/.f64 4 x))
99.3%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
50.7%
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
99.3%
(/.f64 1 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
52.7%
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4/3 (sin.f64 x)))
50.8%
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
51.3%
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
50.8%
(*.f64 2/3 x)
29.1%
(fabs.f64 (*.f64 2/3 x))
Compiler

Compiled 641 to 484 computations (24.5% saved)

regimes86.0ms (0.8%)

Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(fabs.f64 (*.f64 2/3 x))
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
(/.f64 1 (*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 1/2 (*.f64 1/16 (*.f64 x x)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4/3 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 4/3 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Calls

2 calls:

19.0ms
x
17.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 519 to 380 computations (26.8% saved)

regimes8.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(fabs.f64 (*.f64 2/3 x))
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
Outputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 59 to 48 computations (18.6% saved)

regimes8.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(fabs.f64 (*.f64 2/3 x))
(pow.f64 (/.f64 3/2 x) -1)
Outputs
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
51.3%1x
Compiler

Compiled 47 to 38 computations (19.1% saved)

regimes5.0ms (0%)

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 8/3 (/.f64 4 x))
(*.f64 8/3 (/.f64 1 (/.f64 4 x)))
(/.f64 1 (/.f64 (/.f64 4 x) 8/3))
Outputs
(*.f64 2/3 x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
50.8%1x
Compiler

Compiled 25 to 20 computations (20% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02678
13578
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(*.f64 2/3 x)
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 -1/3 x) (*.f64 4 (/.f64 1 x)))))
(*.f64 8/3 (/.f64 1 (+.f64 (*.f64 x -1/3) (*.f64 4 (/.f64 1 x)))))
(*.f64 2/3 x)
(*.f64 x 2/3)
Compiler

Compiled 32 to 27 computations (15.6% saved)

soundness860.0ms (8%)

Rules
1360×prod-diff
1360×prod-diff
1128×associate-*r*
1050×associate-*l*
850×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
023288
1482288
25575288
059917498
1147814616
2706114616
036318
1812302
029221
1630159
27495159
023288
1482288
25575288
Stop Event
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 748 to 571 computations (23.7% saved)

end105.0ms (1%)

Compiler

Compiled 126 to 104 computations (17.5% saved)

Profiling

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