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

Time bar (total: 12.2s)

analyze267.0ms (2.2%)

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)

sample3.0s (24.8%)

Results
1.3s2077×body1024valid
1.2s5077×body256valid
534.0ms1092×body512valid
10.0ms10×body2048valid
Bogosity

preprocess29.0ms (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)

simplify13.0ms (0.1%)

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)

prune7.0ms (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
▶79.6%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶79.6%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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))))
▶99.2%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
▶79.6%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶79.6%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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))))
▶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)

localize676.0ms (5.6%)

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)))
✓99.4%
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
✓80.0%
(/.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)))
✓99.5%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
✓80.0%
(/.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)))
✓99.4%
(/.f64 8/3 (sin.f64 x))
✓79.9%
(*.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)
✓99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
✓99.4%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 185 to 132 computations (28.6% saved)

series9.0ms (0.1%)

Counts
16 → 152
Calls

48 calls:

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

rewrite167.0ms (1.4%)

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)))

simplify147.0ms (1.2%)

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)

eval400.0ms (3.3%)

Compiler

Compiled 9241 to 6699 computations (27.5% saved)

prune222.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New51220532
Fresh000
Picked404
Done000
Total51620536
Accurracy
100.0%
Counts
536 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(/.f64 (pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3) (sin.f64 x))
57.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
57.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
57.9%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
▶57.9%
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
99.3%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
57.4%
(/.f64 (*.f64 8/3 (log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
▶26.5%
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
26.5%
(/.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))
57.8%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
79.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
26.5%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
26.3%
(*.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))))
▶57.6%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))
99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶45.6%
(*.f64 2/3 x)
57.7%
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
73.1%
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 512/27) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
57.9%
(/.f64 (pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3) (sin.f64 x))
57.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
57.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
57.9%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
▶57.9%
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
99.3%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
57.4%
(/.f64 (*.f64 8/3 (log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
▶26.5%
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
26.5%
(/.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))
57.8%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
79.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
26.5%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
26.3%
(*.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))))
▶57.6%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))
99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶45.6%
(*.f64 2/3 x)
57.7%
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
73.1%
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 512/27) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
Compiler

Compiled 1012 to 820 computations (19% saved)

localize855.0ms (7%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(/.f64 1/2 (sin.f64 x))
✓99.7%
(/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))
✓99.4%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))
✓57.9%
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))
100.0%
(sin.f64 x)
✓99.5%
(*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2))
✓80.0%
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
✓78.2%
(+.f64 -1 (cos.f64 x))
100.0%
(sin.f64 x)
✓100.0%
(pow.f64 x 2)
✓99.7%
(*.f64 2/3 (pow.f64 x 2))
✓80.1%
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
✓99.4%
(*.f64 2/3 x)
100.0%
(sin.f64 x)
✓99.7%
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
✓99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
✓99.6%
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
Compiler

Compiled 155 to 92 computations (40.6% saved)

series19.0ms (0.2%)

Counts
14 → 124
Calls

42 calls:

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

rewrite172.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
678×add-sqr-sqrt
650×pow1
648×*-un-lft-identity
630×add-exp-log
630×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030300
1682290
Stop Event
1×node limit
Counts
14 → 336
Calls
Call 1
Inputs
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(*.f64 2/3 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 -1 (cos.f64 x))
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x))
(/.f64 1/2 (sin.f64 x))
Outputs
(-.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 (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 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.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 (exp.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.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))
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(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 1/2 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) 1/2) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 -1/2 (tan.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1/2)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 2 (tan.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 1)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 -1/2 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 1/2 (cos.f64 x))))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
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(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 1/2 (tan.f64 x)) 2))) (neg.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x)))))
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(pow.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 1)
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(pow.f64 (pow.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
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(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 2))
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(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))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (tan.f64 x)))) 1)
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(cbrt.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 1/2 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sin.f64 x))) 1))
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simplify169.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1068×associate-*r*
1042×associate-*l*
800×times-frac
662×fma-def
440×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091413480
1237812784
Stop Event
1×node limit
Counts
460 → 562
Calls
Call 1
Inputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
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(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1/2 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1/2 (tan.f64 x))) 1 (*.f64 (/.f64 1/2 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1/2 (tan.f64 x)) 1))) (fma.f64 (neg.f64 (/.f64 1/2 (tan.f64 x))) 1 (*.f64 (/.f64 1/2 (tan.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2))))
(*.f64 1 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (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 (sqrt.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) (sqrt.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x)))) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 1/2 (tan.f64 x)) 3)) (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (/.f64 1/2 (tan.f64 x)) 2) (/.f64 1/4 (*.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 1/2 (tan.f64 x)) 2)) (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
(/.f64 (-.f64 -1/2 (neg.f64 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (*.f64 1/2 (tan.f64 x)) (*.f64 (sin.f64 x) 1/2)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 1/2 (*.f64 2 (tan.f64 x))) (*.f64 (sin.f64 x) 1)) (*.f64 (sin.f64 x) (*.f64 2 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (*.f64 1/2 (cos.f64 x))))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (tan.f64 x) (*.f64 (/.f64 (sin.f64 x) 1/2) 1/2)) (*.f64 (/.f64 (sin.f64 x) 1/2) (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) 1/2) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 2 (tan.f64 x)) (*.f64 (/.f64 (sin.f64 x) 1/2) 1)) (*.f64 (/.f64 (sin.f64 x) 1/2) (*.f64 2 (tan.f64 x))))
(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) 1/2) (neg.f64 (*.f64 1/2 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) 1/2) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 -1/2 (tan.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1/2)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 -1/2 (*.f64 2 (tan.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 1)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 -1/2 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 1/2 (cos.f64 x))))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 1/2 (cos.f64 x))))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 1/2 (tan.f64 x)) 3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (/.f64 1/2 (tan.f64 x)) 2) (/.f64 1/4 (*.f64 (sin.f64 x) (tan.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 1/2 (tan.f64 x)) 2))) (neg.f64 (+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (neg.f64 (/.f64 1/2 (tan.f64 x))) 3)) (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (neg.f64 (/.f64 1/2 (tan.f64 x))) (neg.f64 (/.f64 1/2 (tan.f64 x)))) (*.f64 (/.f64 1/2 (sin.f64 x)) (neg.f64 (/.f64 1/2 (tan.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 (sqrt.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (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))
(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))))
(fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 1/2 (tan.f64 x))))
(fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (/.f64 1/2 (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (/.f64 1/2 (tan.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (/.f64 1/2 (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(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 (sqrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (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))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (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 1/2 (tan.f64 x)))) 1)
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (*.f64 1/2 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 1 (/.f64 1/2 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (tan.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 (tan.f64 x))) (sqrt.f64 (/.f64 1/2 (tan.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 1/2 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1/2 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 1/2 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1/2 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 1/2 (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 1/2 (tan.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (tan.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (tan.f64 x))) 2)
(pow.f64 (*.f64 2 (tan.f64 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 1/2 (tan.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 1/2 (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (tan.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (tan.f64 x))))
(exp.f64 (log.f64 (/.f64 1/2 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (tan.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (sin.f64 x)))) 1)
(*.f64 1/2 (/.f64 1 (sin.f64 x)))
(*.f64 1 (/.f64 1/2 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))))
(pow.f64 (/.f64 1/2 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) 1/2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (sin.f64 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 1/2 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/2 (sin.f64 x))))
Outputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 -3/32 (*.f64 x x)))
(fma.f64 -3/32 (*.f64 x x) 3/4)
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))
(fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x))))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4)))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 3/8 (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 (*.f64 3/8 (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 (*.f64 3/8 (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 (*.f64 3/8 (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 (*.f64 3/8 (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 (*.f64 3/8 (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 (*.f64 3/8 (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 (*.f64 3/8 (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))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 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))))
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(/.f64 1/2 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1/2 (sin.f64 x))))
(/.f64 1/2 (sin.f64 x))

eval475.0ms (3.9%)

Compiler

Compiled 17483 to 11668 computations (33.3% saved)

prune260.0ms (2.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New100391012
Fresh8715
Picked415
Done000
Total1015171032
Accurracy
100.0%
Counts
1032 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
▶57.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
▶57.9%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
79.8%
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8)
57.7%
(/.f64 (*.f64 8/3 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) -2)) (sin.f64 x))
57.4%
(/.f64 (*.f64 8/3 (log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
57.9%
(/.f64 (*.f64 -4/3 (-.f64 (cos.f64 x) 1)) (sin.f64 x))
49.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
57.9%
(/.f64 1 (*.f64 -3/4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
79.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
57.6%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
▶57.7%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))))
▶99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
57.9%
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
▶25.3%
(fabs.f64 (*.f64 x 2/3))
57.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
▶57.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
▶57.9%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
79.8%
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8)
57.7%
(/.f64 (*.f64 8/3 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) -2)) (sin.f64 x))
57.4%
(/.f64 (*.f64 8/3 (log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
57.9%
(/.f64 (*.f64 -4/3 (-.f64 (cos.f64 x) 1)) (sin.f64 x))
49.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
57.9%
(/.f64 1 (*.f64 -3/4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
79.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
57.6%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
▶57.7%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))))
▶99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
57.9%
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
▶25.3%
(fabs.f64 (*.f64 x 2/3))
Compiler

Compiled 736 to 606 computations (17.7% saved)

localize659.0ms (5.4%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 1/2 (sin.f64 x))
✓99.7%
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))
✓99.4%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))))
✓57.9%
(-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x))))
100.0%
(sin.f64 x)
✓99.7%
(*.f64 (sin.f64 x) 3/8)
✓79.8%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
✓78.3%
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
100.0%
(sin.f64 x)
✓99.7%
(*.f64 (cos.f64 x) -4/3)
✓80.0%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓78.0%
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
✓99.4%
(*.f64 x 2/3)
✓99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Compiler

Compiled 141 to 83 computations (41.1% saved)

series8.0ms (0.1%)

Counts
11 → 124
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
1.0ms
x
@inf
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
1.0ms
x
@-inf
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
1.0ms
x
@-inf
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
0.0ms
x
@inf
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))

rewrite98.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
031241
1689205
Stop Event
1×node limit
Counts
11 → 282
Calls
Call 1
Inputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 x 2/3)
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(*.f64 (cos.f64 x) -4/3)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x))))
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(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 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (+.f64 64/27 (*.f64 (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 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))
(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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) 1)
(/.f64 -4/3 (/.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) -4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) -4/3))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) -4/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 1 (fma.f64 (cos.f64 x) -1/2 1/2))
(*.f64 (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 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))))
(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))
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(log.f64 (exp.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(fma.f64 1/2 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(fma.f64 1 (/.f64 1/2 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(fma.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 8/3 (/.f64 1/2 (sin.f64 x))) (*.f64 8/3 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) 8/3) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 8/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3))) 1)
(pow.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) 1)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))
(/.f64 (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) 1))
(/.f64 1/2 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x))))
(/.f64 -1/2 (*.f64 (/.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 -1/2 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 1 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 1/2)))
(/.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 1)
(/.f64 (*.f64 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 -1 (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 2) -1))
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) 1/2) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) -1/2) (*.f64 -1 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 1))
(/.f64 (*.f64 1/2 (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) -1))
(/.f64 (*.f64 -1/2 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) -1))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) 1/2)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))

simplify202.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
878×associate-*r*
814×associate-*l*
808×times-frac
578×associate-/l*
550×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077111072
1194310432
Stop Event
1×node limit
Counts
406 → 428
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 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 (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 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(*.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 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 3/8 x)
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 1/4 x)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 8/3 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 1/2 x)
(+.f64 (*.f64 -1/6 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1/90 (pow.f64 x 3))))
(+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 -1/945 (pow.f64 x 5)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1/90 (pow.f64 x 3)))))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(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 1 (fma.f64 (cos.f64 x) -4/3 4/3))
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(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(+.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 1 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(+.f64 (fma.f64 1/2 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2))))
(+.f64 (fma.f64 1 (/.f64 1/2 (sin.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2))))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) 1) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 1))
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 1 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (sqrt.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3)) (/.f64 1 (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2) (*.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))))
(*.f64 (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2)) (/.f64 1 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (-.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (/.f64 1/2 (sin.f64 x)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2) (*.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))) (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3))))
(/.f64 1 (/.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2))))
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3)) (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2) (*.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2)) (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1/2 (*.f64 (cos.f64 x) 1/2)) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (*.f64 (sin.f64 x) 1))
(/.f64 (-.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) 1/2))) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 -1/2 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(/.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) 1/2))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) (*.f64 (*.f64 (sin.f64 x) 2) 1))
(/.f64 (-.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) 1/2))) (*.f64 (*.f64 (sin.f64 x) 2) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2) (*.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2))) (neg.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 3)) (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))) (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))
(pow.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(fma.f64 1/2 (/.f64 1 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(fma.f64 1 (/.f64 1/2 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (sin.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(fma.f64 (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (sqrt.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 8/3 (/.f64 1/2 (sin.f64 x))) (*.f64 8/3 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) 8/3) (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) 8/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3))) 1)
(pow.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 8/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))) 1)
(/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))
(/.f64 (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) 1))
(/.f64 1/2 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x))))
(/.f64 -1/2 (*.f64 (/.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 -1/2 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) -1/2) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2)))
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 1 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) 1/2)))
(/.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 1)
(/.f64 (*.f64 (cos.f64 x) 1/2) (sin.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 -1 (*.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 2) -1))
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) 2)) -1)
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) 1/2) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) -1/2) (*.f64 -1 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 1))
(/.f64 (*.f64 1/2 (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) -1))
(/.f64 (*.f64 -1/2 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) -1))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) 1/2)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 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 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))))
(*.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 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 (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)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))) 1))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 2))))
(*.f64 1/2 (/.f64 (cos.f64 x) (sin.f64 x)))

eval333.0ms (2.7%)

Compiler

Compiled 12883 to 8559 computations (33.6% saved)

prune118.0ms (1%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New7188726
Fresh5611
Picked055
Done011
Total72320743
Accurracy
100.0%
Counts
743 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.7%
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
97.7%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
▶57.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓57.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓57.9%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
57.9%
(/.f64 (*.f64 -4/3 (-.f64 (cos.f64 x) 1)) (sin.f64 x))
▶49.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
79.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
57.9%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
57.6%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
✓57.7%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))))
▶99.3%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
✓99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
▶56.8%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
✓25.3%
(fabs.f64 (*.f64 x 2/3))
▶83.4%
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
47.4%
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
73.2%
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
35.7%
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
97.7%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
▶57.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓57.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓57.9%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
57.9%
(/.f64 (*.f64 -4/3 (-.f64 (cos.f64 x) 1)) (sin.f64 x))
▶49.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
79.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
57.9%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
57.6%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
✓57.7%
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1/2 (sin.f64 x)))))
▶99.3%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
✓99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
▶56.8%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
✓25.3%
(fabs.f64 (*.f64 x 2/3))
▶83.4%
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
47.4%
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
73.2%
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
Compiler

Compiled 702 to 592 computations (15.7% saved)

localize2.2s (18.1%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
✓99.5%
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
✓99.5%
(expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
✓58.9%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
✓99.8%
(log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
✓99.8%
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
✓99.5%
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
100.0%
(sin.f64 x)
✓99.8%
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
✓80.0%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓78.3%
(-.f64 1 (cos.f64 x))
✓100.0%
(sin.f64 (*.f64 x 1/2))
✓99.9%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
✓100.0%
(sin.f64 (*.f64 x 1/2))
✓99.8%
(/.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 152 to 116 computations (23.7% saved)

series117.0ms (1%)

Counts
15 → 172
Calls

45 calls:

TimeVariablePointExpression
39.0ms
x
@inf
(log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
34.0ms
x
@inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
21.0ms
x
@-inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
16.0ms
x
@-inf
(log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
1.0ms
x
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))

rewrite170.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1348×prod-diff
824×expm1-udef
474×add-sqr-sqrt
458×pow1
456×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026253
1536253
26168253
Stop Event
1×node limit
Counts
15 → 450
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)))
(sin.f64 (*.f64 x 1/2))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(sin.f64 (*.f64 x 1/2))
(-.f64 1 (cos.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (*.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 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
Outputs
(+.f64 0 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(-.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (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 (pow.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1) (+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(/.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 (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 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))))
(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 (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 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 4/3 (sin.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))) 4/3))
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -4/3)
(*.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 4/3 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 3))
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(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (exp.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (E.f64))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (neg.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) 1) (-.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 4/3)
(pow.f64 (E.f64) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(fma.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2) (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)

simplify255.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1572×log-prod
930×fma-neg
874×associate-*r*
766×associate-*l*
714×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072716904
1162916046
2721016046
Stop Event
1×node limit
Counts
622 → 458
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 1/2 x)
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(+.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5)))))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7)))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(+.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5)))))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 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 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 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 -2/9 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -2/9 (pow.f64 x 2)) (*.f64 25/162 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -2/9 (pow.f64 x 2)) (+.f64 (*.f64 25/162 (pow.f64 x 3)) (*.f64 -7/81 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(log.f64 (+.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(log.f64 (+.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (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 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 2/9 (pow.f64 x 2)))
(+.f64 (*.f64 17/162 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 2/9 (pow.f64 x 2))))
(+.f64 (*.f64 17/162 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 2/9 (pow.f64 x 2)) (*.f64 11/243 (pow.f64 x 4)))))
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 1)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (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))))
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 2/9 (pow.f64 x 2))))
(+.f64 (*.f64 17/162 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 1 (*.f64 2/9 (pow.f64 x 2)))))
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(*.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 (/.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 (pow.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1) (+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(/.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 (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 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 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 1 (-.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(+.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 0)
(+.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) -1)
(-.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2) (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 1) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 2) (+.f64 1 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 2) 1) (+.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 1))
(pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(fma.f64 1 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 0 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(-.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (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 (pow.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1) (+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(/.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 (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 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))))
(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 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (/.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 1 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (exp.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (E.f64))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (neg.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) 1) (-.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 4/3)
(pow.f64 (E.f64) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(fma.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2) (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
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 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))))
(*.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 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))
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(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (log1p.f64 (neg.f64 (expm1.f64 (*.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 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 (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 (-.f64 (pow.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3) -1) (fma.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1) 3)) (fma.f64 (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1) (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1) (+.f64 2 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1) (+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 (fma.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1) (+.f64 1 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (+.f64 2 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (/.f64 (+.f64 2 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 4/3 (tan.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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (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 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (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 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))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(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)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(-.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 0)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (/.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(*.f64 1 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (+.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (exp.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (E.f64))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))))
(/.f64 (-.f64 -1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)) (-.f64 -1 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (neg.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (+.f64 -1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) 1) (-.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))) (neg.f64 (-.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (+.f64 -1 (pow.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (+.f64 -1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 4/3)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (E.f64) (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))) 3))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(fma.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2) (cbrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))

eval233.0ms (1.9%)

Compiler

Compiled 7526 to 5926 computations (21.3% saved)

prune127.0ms (1%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New5117518
Fresh729
Picked235
Done156
Total52117538
Accurracy
100.0%
Counts
538 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓57.7%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
✓57.9%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
57.9%
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
99.3%
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
✓49.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
99.3%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
57.9%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
57.9%
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4/3 (/.f64 1 (sin.f64 x))))
99.3%
(*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
99.3%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3))
✓99.3%
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
✓99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
4.1%
(log.f64 1)
✓25.3%
(fabs.f64 (*.f64 x 2/3))
47.4%
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
Compiler

Compiled 686 to 515 computations (24.9% saved)

regimes52.0ms (0.4%)

Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(log.f64 1)
(fabs.f64 (*.f64 x 2/3))
(*.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 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(/.f64 (*.f64 -4/3 (-.f64 (cos.f64 x) 1)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4/3 (/.f64 1 (sin.f64 x))))
(/.f64 1 (*.f64 -3/4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.f64 (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 (+.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)))))
(expm1.f64 (log1p.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)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8)
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.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 (/.f64 (sin.f64 (*.f64 x 1/2)) (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 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 1) (/.f64 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 (log.f64 (exp.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))
(/.f64 (*.f64 8/3 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3)) -2)) (sin.f64 x))
(/.f64 (pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3) (sin.f64 x))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 512/27) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
Calls

2 calls:

20.0ms
x
18.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 545 to 396 computations (27.3% saved)

regimes27.0ms (0.2%)

Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(log.f64 1)
(fabs.f64 (*.f64 x 2/3))
(*.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 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(*.f64 -4/3 (/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(/.f64 (*.f64 -4/3 (-.f64 (cos.f64 x) 1)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (tan.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4/3 (/.f64 1 (sin.f64 x))))
(/.f64 1 (*.f64 -3/4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (/.f64 (+.f64 -1 (cos.f64 x)) -2)) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.f64 (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 (+.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)))))
(expm1.f64 (log1p.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)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8)
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 8/3 (-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.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 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
Outputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 379 to 275 computations (27.4% saved)

regimes4.0ms (0%)

Accuracy

Total -27.3b remaining (-78.4%)

Threshold costs -27.3b (-78.4%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
45.6%1x
Compiler

Compiled 12 to 9 computations (25% saved)

simplify21.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01967
12267
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 x)
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
Compiler

Compiled 26 to 21 computations (19.2% saved)

soundness564.0ms (4.6%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 546 to 392 computations (28.2% saved)

end62.0ms (0.5%)

Compiler

Compiled 116 to 94 computations (19% saved)

Profiling

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