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

Details

Time bar (total: 9.2s)

analyze267.0ms (2.9%)

Algorithm
1×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)

sample2.9s (31%)

Results
1.3s2078×body1024valid
1.1s5120×body256valid
453.0ms1052×body512valid
6.0ms6×body2048valid
Bogosity

preprocess18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
011
Stop Event
1×saturated
1×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 (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
Stop Event
1×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)

prune6.0ms (0.1%)

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))
▶79.3%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
▶79.3%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
▶99.2%
(*.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))
▶79.3%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
▶79.3%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
▶99.2%
(*.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)

localize640.0ms (7%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sin.f64 x)
✓99.6%
(*.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)))
✓79.6%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
✓100.0%
(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))))
✓79.6%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
✓100.0%
(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))
✓79.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
✓100.0%
(sin.f64 x)
✓99.7%
(/.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)

series11.0ms (0.1%)

Counts
16 → 152
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
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 (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))))

rewrite159.0ms (1.7%)

Algorithm
1×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
023308
1482308
25575308
Stop Event
1×node limit
Counts
16 → 492
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))
(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)))
(sin.f64 x)
(/.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)))
(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 (/.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)))
(sin.f64 x)
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))))
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(*.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))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(log1p.f64 (expm1.f64 (sin.f64 x)))

simplify159.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1228×times-frac
1194×associate-*r*
1118×associate-*l*
818×associate-/l*
556×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063518322
1153615428
Stop Event
1×node limit
Counts
644 → 400
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))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) 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)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) 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 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)))
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(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))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(log1p.f64 (expm1.f64 (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 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 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 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 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 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 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 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 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))))
(fma.f64 17/80640 (pow.f64 x 7) (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 7) 17/80640 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x 1/4 (*.f64 (pow.f64 x 5) 1/480))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 1/16 (*.f64 x x)))
(fma.f64 1/16 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (*.f64 1/16 (*.f64 x x))))
(+.f64 1/2 (fma.f64 1/16 (*.f64 x x) (*.f64 5/768 (pow.f64 x 4))))
(+.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 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (*.f64 1/16 (*.f64 x x)))))
(+.f64 (fma.f64 61/92160 (pow.f64 x 6) (*.f64 5/768 (pow.f64 x 4))) (fma.f64 1/16 (*.f64 x x) 1/2))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(*.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 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 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 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 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 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 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 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 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 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)))))
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 5) 31/5670 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x))))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 x (*.f64 x 1/4))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/48))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/48)))
(fma.f64 1/4 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/48 (*.f64 (pow.f64 x 6) 1/1440)))
(+.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)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/48))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/48 (*.f64 (pow.f64 x 6) 1/1440))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
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(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(*.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 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 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 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 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 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 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 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 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 (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 2/3 (*.f64 x x) (*.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 2/3 (*.f64 x x) (fma.f64 (pow.f64 x 8) -1/30240 (*.f64 (pow.f64 x 6) 1/540))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 x (*.f64 x 1/4))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/48))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/48)))
(fma.f64 1/4 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/48 (*.f64 (pow.f64 x 6) 1/1440)))
(+.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)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/48))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/48 (*.f64 (pow.f64 x 6) 1/1440))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(*.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 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 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 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 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 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 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 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 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 (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 (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 2/3 (*.f64 x x) (*.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 2/3 (*.f64 x x) (fma.f64 (pow.f64 x 8) -1/30240 (*.f64 (pow.f64 x 6) 1/540))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(-.f64 (exp.f64 (log1p.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)))
(/.f64 8/3 (/.f64 (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 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.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 (*.f64 8/3 (+.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 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.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 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.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)))
(/.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))))))
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(+.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 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.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 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 512/27) (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 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 512/27) (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 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.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 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.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 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.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 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

eval222.0ms (2.4%)

Compiler

Compiled 9241 to 6699 computations (27.5% saved)

prune154.0ms (1.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New51517532
Fresh000
Picked404
Done000
Total51917536
Accurracy
100.0%
Counts
536 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
54.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
▶54.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
54.5%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
79.3%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
70.1%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
29.9%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
54.5%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
49.2%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
30.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
▶54.4%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
29.7%
(*.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))))
▶50.2%
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2))
54.3%
(*.f64 8/3 (log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
▶99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶49.3%
(*.f64 2/3 x)
54.0%
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
54.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
▶54.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
54.5%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
79.3%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
70.1%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
29.9%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
54.5%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
49.2%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
30.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
▶54.4%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
29.7%
(*.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))))
▶50.2%
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2))
54.3%
(*.f64 8/3 (log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
▶99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶49.3%
(*.f64 2/3 x)
Compiler

Compiled 824 to 672 computations (18.4% saved)

localize778.0ms (8.5%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(sqrt.f64 (sin.f64 x))
✓99.7%
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2))
✓99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
✓99.6%
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
✓99.9%
(/.f64 1 (sin.f64 x))
✓99.8%
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
✓88.1%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
✓85.9%
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
✓100.0%
(cos.f64 x)
✓99.8%
(*.f64 (cos.f64 x) -4/3)
✓88.2%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓85.8%
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
✓99.7%
(*.f64 2/3 x)
✓99.7%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Compiler

Compiled 139 to 86 computations (38.1% saved)

series17.0ms (0.2%)

Counts
14 → 104
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
2.0ms
x
@inf
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
1.0ms
x
@-inf
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
1.0ms
x
@inf
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
1.0ms
x
@-inf
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))

rewrite123.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
652×add-sqr-sqrt
618×pow1
616×*-un-lft-identity
604×add-exp-log
604×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032258
1691230
Stop Event
1×node limit
Counts
14 → 387
Calls
Call 1
Inputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.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)
(cos.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 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2))
(sqrt.f64 (sin.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(/.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)
(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)
(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))
(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 (*.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 (*.f64 x x) 4/9))
(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 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2))
(*.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) -1/2 1/2)) (*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(*.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 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (-.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 -16/9 (cos.f64 x)))))
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 (*.f64 8/3 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 -16/9 (cos.f64 x))) (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))
(/.f64 1 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 -16/9 (cos.f64 x))))
(/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (neg.f64 (-.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 -16/9 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (-.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) 4/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9) (-.f64 (*.f64 (cos.f64 x) -4/3) 4/3))
(/.f64 (*.f64 8/3 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(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 (pow.f64 (cbrt.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 (*.f64 (/.f64 1 (sin.f64 x)) 4/3) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) -4/3)))
(+.f64 (*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 8/3) 1/2) (*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 8/3) (*.f64 (cos.f64 x) -1/2)))
(+.f64 (*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 8/3) (*.f64 (cos.f64 x) -1/2)) (*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 8/3) 1/2))
(+.f64 (*.f64 4/3 (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) -4/3) (/.f64 1 (sin.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sin.f64 x)) 8/3)) (*.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)))
(+.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)) (*.f64 1/2 (*.f64 (/.f64 1 (sin.f64 x)) 8/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -4/3) 1))
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(+.f64 (*.f64 (*.f64 (cos.f64 x) -4/3) 1) 4/3)
(-.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 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 -16/9 (cos.f64 x))) (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))
(/.f64 1 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 -16/9 (cos.f64 x))))
(/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (neg.f64 (-.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 -16/9 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (-.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) 4/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9) (-.f64 (*.f64 (cos.f64 x) -4/3) 4/3))
(/.f64 (*.f64 8/3 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(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 (pow.f64 (cbrt.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 1 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(pow.f64 (sin.f64 x) -1)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(*.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (sin.f64 x) -1/2) (/.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))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (*.f64 (cbrt.f64 (/.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 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.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 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (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 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.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))) 1) (*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 1/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (sin.f64 x) 1/4)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(fabs.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (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)
(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 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 1/4) (pow.f64 (sin.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 1/2))
(pow.f64 (sin.f64 x) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 x))))

simplify178.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1858×fma-def
1208×log-prod
1078×times-frac
690×associate-/l*
502×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080012541
1182712093
2712111953
Stop Event
1×node limit
Counts
491 → 490
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))))
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(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (-.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) 4/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9) (-.f64 (*.f64 (cos.f64 x) -4/3) 4/3))
(/.f64 (*.f64 8/3 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(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 (pow.f64 (cbrt.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 1 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(pow.f64 (sin.f64 x) -1)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(*.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (sin.f64 x) -1/2) (/.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))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (*.f64 (cbrt.f64 (/.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 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (/.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 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (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 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.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))) 1) (*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 1/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (sin.f64 x) 1/4)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(fabs.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (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)
(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 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 1/4) (pow.f64 (sin.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 1/2))
(pow.f64 (sin.f64 x) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (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)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.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)))))
(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))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.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 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 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 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 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 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
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(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))
(fabs.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(*.f64 1 (/.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 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (/.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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) -1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 1/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) 1/4)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (sin.f64 x) 1/4)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 x) 1/4)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1/2)
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3) 1/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(fabs.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.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 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x)))) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 x)))) 1)
(sqrt.f64 (sin.f64 x))
(*.f64 1 (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (sin.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 1/4) (pow.f64 (sin.f64 x) 1/4))
(sqrt.f64 (sin.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 1/2)
(sqrt.f64 (sin.f64 x))
(pow.f64 (sqrt.f64 (sin.f64 x)) 1)
(sqrt.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) 3)
(sqrt.f64 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 x) 3/2))
(pow.f64 (pow.f64 (sin.f64 x) 1/4) 2)
(sqrt.f64 (sin.f64 x))
(fabs.f64 (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (sin.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 x))))
(sqrt.f64 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 x)))))
(sqrt.f64 (sin.f64 x))
(cbrt.f64 (pow.f64 (sin.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 x))))
(sqrt.f64 (sin.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 x))))
(sqrt.f64 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1/2))
(sqrt.f64 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 1))
(sqrt.f64 (sin.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 x))))
(sqrt.f64 (sin.f64 x))

eval374.0ms (4.1%)

Compiler

Compiled 8489 to 5827 computations (31.4% saved)

prune142.0ms (1.5%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New50911520
Fresh4812
Picked235
Done000
Total51522537
Accurracy
100.0%
Counts
537 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
48.4%
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
97.9%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
▶54.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
54.1%
(/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
✓54.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
▶54.5%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
29.9%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
▶99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
54.5%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
49.2%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
▶30.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
54.4%
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3))
29.9%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)))
29.7%
(*.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))))
99.4%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓49.3%
(*.f64 2/3 x)
18.3%
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
▶18.3%
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
48.1%
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
71.8%
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
28.1%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
48.4%
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
97.9%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
▶54.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
54.1%
(/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
✓54.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
▶54.5%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
29.9%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
▶99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
54.5%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
49.2%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
▶30.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
54.4%
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3))
29.9%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)))
29.7%
(*.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))))
99.4%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓49.3%
(*.f64 2/3 x)
18.3%
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
▶18.3%
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
48.1%
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
71.8%
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
Compiler

Compiled 890 to 718 computations (19.3% saved)

localize716.0ms (7.8%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
100.0%
(cos.f64 x)
✓99.6%
(*.f64 (sin.f64 x) 3/8)
✓79.6%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
75.1%
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
100.0%
(cos.f64 x)
✓99.7%
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
✓79.6%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓75.1%
(-.f64 1 (cos.f64 x))
100.0%
(sin.f64 x)
99.5%
(/.f64 8/3 (sin.f64 x))
✓79.7%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
✓99.8%
(*.f64 x (*.f64 x 4/9))
✓99.4%
(*.f64 x 4/9)
✓58.5%
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
100.0%
(sin.f64 x)
✓99.7%
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
✓99.7%
(/.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)))
Compiler

Compiled 146 to 87 computations (40.4% saved)

series14.0ms (0.2%)

Counts
12 → 136
Calls

36 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
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
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
1.0ms
x
@-inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))

rewrite109.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
708×add-sqr-sqrt
676×pow1
676×*-un-lft-identity
662×add-exp-log
662×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033256
1729242
Stop Event
1×node limit
Counts
12 → 268
Calls
Call 1
Inputs
(/.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 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(*.f64 x 4/9)
(*.f64 x (*.f64 x 4/9))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
(-.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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
Outputs
(-.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 (/.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)
(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 x) (sin.f64 (*.f64 x 1/2)))) 8/3))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 1 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.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 x) (sin.f64 (*.f64 x 1/2)))) 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 x) (sin.f64 (*.f64 x 1/2)))) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 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)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 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 x) (sin.f64 (*.f64 x 1/2)))) 8/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1)
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(*.f64 1 (*.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 (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 (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 x) (sin.f64 (*.f64 x 1/2)))) -1)
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 64/9))
(log.f64 (pow.f64 (exp.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 x 2/3))) 1)
(*.f64 x 2/3)
(*.f64 1 (*.f64 x 2/3))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 4/9))) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 (sqrt.f64 x) (*.f64 2/3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 4/9))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 4/9)))))
(*.f64 (pow.f64 1 1/2) (*.f64 x 2/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 4/9))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 4/9))) 1/2))
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 4/9 1/2))
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)
(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)
(fabs.f64 (*.f64 x 2/3))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(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 (*.f64 x 4/9))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 4/9))) 1)
(pow.f64 (*.f64 x 4/9) 1)
(pow.f64 (cbrt.f64 (*.f64 x 4/9)) 3)
(pow.f64 (pow.f64 (*.f64 x 4/9) 3) 1/3)
(pow.f64 (*.f64 2/3 (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 4/9) 2))
(log.f64 (pow.f64 (exp.f64 4/9) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4/9))))
(cbrt.f64 (pow.f64 (*.f64 x 4/9) 3))
(expm1.f64 (log1p.f64 (*.f64 x 4/9)))
(exp.f64 (log.f64 (*.f64 x 4/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 4/9)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 4/9)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1)
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1)
(pow.f64 (*.f64 x 2/3) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 4/9))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 4/9) x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2/3) 3) (pow.f64 (*.f64 x 2/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 4/9) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 4/9) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x)))) 1)
(/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4))) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (*.f64 (*.f64 x x) 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)) (sin.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))) 1)
(-.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/4)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))
(*.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (/.f64 1 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) 1) (/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1) (/.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) 2)
(pow.f64 (/.f64 (sin.f64 x) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 1)
(*.f64 1 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(*.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 1)
(pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 3)
(pow.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2)
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 9/16))
(log.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(cbrt.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3))
(expm1.f64 (log1p.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(exp.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1))
(log1p.f64 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(-.f64 (exp.f64 (log1p.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)))
(*.f64 1 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 1 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (pow.f64 (cbrt.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 (/.f64 1 (sin.f64 x)) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3/8))
(*.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 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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)
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.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))
(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)
(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 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))
(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)))

simplify191.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
2000×log-prod
704×associate-*l*
670×associate-*r*
466×associate-/l*
430×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07049136
116598882
265868882
Stop Event
1×node limit
Counts
404 → 407
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
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(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)
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.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))
(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)
(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 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))
(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)))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 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 -1/4 (*.f64 x x))))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 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 -1/23040 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/23040 (pow.f64 x 6) (*.f64 x (*.f64 x -1/4))) (fma.f64 1/192 (pow.f64 x 4) 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 (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (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 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 (*.f64 x x) -3/32))
(fma.f64 (*.f64 x x) -3/32 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 (*.f64 x x) -3/32)))
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 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 (*.f64 x x) -3/32))))
(fma.f64 (pow.f64 x 6) -1/61440 (fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 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 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 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 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 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 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 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 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 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/9))
(fma.f64 (pow.f64 x 3) 1/9 (*.f64 x 2/3))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/9)))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/9 (*.f64 (pow.f64 x 5) 7/540)))
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/9))))
(fma.f64 (pow.f64 x 7) 31/22680 (fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/9 (*.f64 (pow.f64 x 5) 7/540))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 x x) (/.f64 (sin.f64 x) 2/3))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/2)
(*.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 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/24))
(+.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 (pow.f64 x 6) 1/720)))
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 6) 1/720 (*.f64 (pow.f64 x 4) -1/24)))
(+.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)))))
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 6) 1/720 (*.f64 -1/40320 (pow.f64 x 8)))))
(*.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 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 (*.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 (pow.f64 x 6) 1/540 (*.f64 x (*.f64 x 2/3))))
(+.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 (pow.f64 x 6) 1/540 (*.f64 (pow.f64 x 8) -1/30240))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
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(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(*.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 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(*.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 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(*.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))))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 1)
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 3)
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3) 1/3)
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 2)
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (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)
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)) 2))
(fabs.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2)))
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 3))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) (*.f64 (pow.f64 (sin.f64 x) 3) 27/512)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 3) 27/512))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) 1))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(/.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 (sin.f64 x) 3/8)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 2))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 (sin.f64 x) 3/8)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(*.f64 (sin.f64 x) 3/8)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)

eval343.0ms (3.7%)

Compiler

Compiled 13251 to 9152 computations (30.9% saved)

prune178.0ms (1.9%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New8506856
Fresh7714
Picked325
Done033
Total86018878
Accurracy
100.0%
Counts
878 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
✓54.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
54.1%
(/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
✓54.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓54.5%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
▶53.0%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
54.5%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
49.2%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
29.3%
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
▶54.2%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
28.9%
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
▶3.5%
(*.f64 x -2/3)
54.5%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
▶99.4%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓49.3%
(*.f64 2/3 x)
48.1%
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
▶71.8%
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
97.9%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
✓54.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
54.1%
(/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
✓54.4%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓54.5%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
▶53.0%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
54.5%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
49.2%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
29.3%
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
▶54.2%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
28.9%
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
▶3.5%
(*.f64 x -2/3)
54.5%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
▶99.4%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓49.3%
(*.f64 2/3 x)
48.1%
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
▶71.8%
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
Compiler

Compiled 650 to 530 computations (18.5% saved)

localize432.0ms (4.7%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
✓99.2%
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3)
✓71.9%
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
99.8%
(/.f64 1 (sin.f64 x))
✓99.7%
(/.f64 (cos.f64 x) 3/4)
✓99.4%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
✓53.5%
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
✓99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
✓99.5%
(*.f64 x -2/3)
✓99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
✓99.5%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
Compiler

Compiled 124 to 91 computations (26.6% saved)

series15.0ms (0.2%)

Counts
10 → 120
Calls

30 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3)
2.0ms
x
@inf
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
1.0ms
x
@inf
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3)
1.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
0.0ms
x
@inf
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))

rewrite190.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
868×expm1-udef
860×log1p-udef
548×prod-diff
508×add-sqr-sqrt
478×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027164
1577164
26392164
Stop Event
1×node limit
Counts
10 → 287
Calls
Call 1
Inputs
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(*.f64 x -2/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(/.f64 (cos.f64 x) 3/4)
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3)
(*.f64 4/3 (tan.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 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.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))))
(/.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))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(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 (*.f64 64/27 (pow.f64 (tan.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))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1/3))
(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)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (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 1 (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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (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 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
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(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.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))))
(/.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))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(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))))))
(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))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))) 1)
(*.f64 4/3 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 1 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 4/3 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(*.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1)
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 64/27)
(*.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) 3) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (tan.f64 (*.f64 x 1/2))) 4/3)
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(/.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cos.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 6))
(log.f64 (pow.f64 (exp.f64 64/27) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))
(cbrt.f64 (pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(exp.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(-.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 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.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))))
(/.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))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(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 (*.f64 64/27 (pow.f64 (tan.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))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))

simplify144.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1074×log-prod
894×associate-*r*
882×associate-*l*
654×cube-prod
500×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062010555
1151310231
2590910231
Stop Event
1×node limit
Counts
407 → 368
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)))
(*.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 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 (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 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (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 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 1/2 (*.f64 x (cbrt.f64 64/27)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (*.f64 1/2 (*.f64 x (cbrt.f64 64/27))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (+.f64 (*.f64 1/240 (*.f64 (pow.f64 x 5) (cbrt.f64 64/27))) (*.f64 1/2 (*.f64 x (cbrt.f64 64/27)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 3) (cbrt.f64 64/27))) (+.f64 (*.f64 17/40320 (*.f64 (pow.f64 x 7) (cbrt.f64 64/27))) (+.f64 (*.f64 1/240 (*.f64 (pow.f64 x 5) (cbrt.f64 64/27))) (*.f64 1/2 (*.f64 x (cbrt.f64 64/27))))))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 64/27)) (cos.f64 (*.f64 1/2 x)))
(*.f64 8/27 (pow.f64 x 3))
(+.f64 (*.f64 2/27 (pow.f64 x 5)) (*.f64 8/27 (pow.f64 x 3)))
(+.f64 (*.f64 2/27 (pow.f64 x 5)) (+.f64 (*.f64 11/810 (pow.f64 x 7)) (*.f64 8/27 (pow.f64 x 3))))
(+.f64 (*.f64 2/27 (pow.f64 x 5)) (+.f64 (*.f64 11/5103 (pow.f64 x 9)) (+.f64 (*.f64 11/810 (pow.f64 x 7)) (*.f64 8/27 (pow.f64 x 3)))))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.f64 64/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(*.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 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 4/3))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
(-.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 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (*.f64 4/3 (tan.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 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1/3))
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.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 (pow.f64 1 1/3) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1/3) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 64/27 1/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2) 1/3))
(*.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 (pow.f64 (cbrt.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 4/3 (/.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 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.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))))
(/.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))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(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))))))
(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))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))) 1)
(*.f64 4/3 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 1 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 4/3 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(*.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1)
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 64/27)
(*.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) 3) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 4/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) 1) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (tan.f64 (*.f64 x 1/2))) 4/3)
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(/.f64 (*.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cos.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 6))
(log.f64 (pow.f64 (exp.f64 64/27) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))
(cbrt.f64 (pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(exp.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(-.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 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.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))))
(/.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))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(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 (*.f64 64/27 (pow.f64 (tan.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))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1/3))
(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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.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)))
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/36))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
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(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1))
(*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(log1p.f64 (expm1.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))
(*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(-.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 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.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 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.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))))
(/.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 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3)
(cbrt.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(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 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (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 (*.f64 64/27 (pow.f64 (tan.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))) 1/3))
(cbrt.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))

eval168.0ms (1.8%)

Compiler

Compiled 5811 to 4474 computations (23% saved)

prune67.0ms (0.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New4003403
Fresh538
Picked325
Done145
Total40912421
Accurracy
100.0%
Counts
421 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.5%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓54.4%
(/.f64 (+.f64 4/3 (*.f64 (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)))
✓53.0%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
99.4%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
49.2%
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
29.3%
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
28.9%
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
98.8%
(*.f64 (cbrt.f64 64/27) (tan.f64 (*.f64 x 1/2)))
✓3.5%
(*.f64 x -2/3)
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓49.3%
(*.f64 2/3 x)
Compiler

Compiled 536 to 395 computations (26.3% saved)

regimes85.0ms (0.9%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x -2/3)
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (sin.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 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (*.f64 (*.f64 x x) 1/4)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (cbrt.f64 64/27) (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(/.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 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.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))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.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 (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 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2))
(*.f64 8/3 (log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
Outputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Calls

2 calls:

49.0ms
x
16.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 448 to 324 computations (27.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total -30.1b remaining (-92.7%)

Threshold costs -30.1b (-92.7%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x -2/3)
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
Outputs
(*.f64 2/3 x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
49.3%1x
Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11324
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 x)
Outputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
Compiler

Compiled 11 to 9 computations (18.2% saved)

soundness357.0ms (3.9%)

Rules
1360×prod-diff
1228×times-frac
1194×associate-*r*
1118×associate-*l*
818×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
023308
1482308
25575308
063518322
1153615428
Stop Event
1×node limit
1×node limit
1×saturated
Compiler

Compiled 427 to 304 computations (28.8% saved)

end58.0ms (0.6%)

Compiler

Compiled 88 to 72 computations (18.2% saved)

Profiling

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